Author: "Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)" - Searchworks@Jio Institute Digital Library Search Results

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1,104 results on '"Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)"'

1. How periodic orbit bifurcations drive multiphoton ionization

Author: Turgay Uzer, S. Huang, Cristel Chandre, Center for Nonlinear Science / School of Physics (CNS - GATECH), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Field (physics), Hydrogen, FOS: Physical sciences, chemistry.chemical_element, Nonlinear Sciences - Chaotic Dynamics, Condensed Matter Physics, Stability (probability), Atomic and Molecular Physics, and Optics, chemistry, Ionization, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Physics::Atomic and Molecular Clusters, Empirical formula, Periodic orbits, Physics::Atomic Physics, Chaotic Dynamics (nlin.CD), Atomic physics, Quantum, Microwave
Abstract: The multiphoton ionization of hydrogen by a strong bichromatic microwave field is a complex process prototypical for atomic control research. Periodic orbit analysis captures this complexity: Through the stability of periodic orbits we can match qualitatively the variation of experimental ionization rates with a control parameter, the relative phase between the two modes of the field. Moreover, an empirical formula reproduces quantum simulations to a high degree of accuracy. This quantitative agreement shows how short periodic orbits organize the dynamics in multiphoton ionization., Comment: 4 pages, 4 figures
Published: 2007

2. Control of stochasticity in magnetic field lines

Author: Cristel Chandre, Michel Vittot, Ricardo Lima, Guido Ciraolo, Philippe Ghendrih, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Département de Recherche sur la Fusion Contrôlée (DRFC), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Control of chaos, Physics, Nuclear and High Energy Physics, Field line, FOS: Physical sciences, Magnetic confinement fusion, Perturbation (astronomy), Torus, Nonlinear Sciences - Chaotic Dynamics, Condensed Matter Physics, 01 natural sciences, 52.25.Fi, 05.45.Gg, 52.35.Py, 52.55.Rk, 010305 fluids & plasmas, Magnetic field, Hamiltonian system, Classical mechanics, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0103 physical sciences, Tearing, Chaotic Dynamics (nlin.CD), 010306 general physics
Abstract: International audience; We present a method of control which is able to create barriers to magnetic field line diffusion by a small modification of the magnetic perturbation. This method of control is based on a localized control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which creates invariant tori acting as barriers to diffusion for Hamiltonian systems with two degrees of freedom. The location of the invariant torus is enforced in the vicinity of the chosen target. Given the importance of confinement in magnetic fusion devices, the method is applied to two examples with a loss of magnetic confinement. In the case of locked tearing modes, an invariant torus can be restored that aims at showing the current quench and therefore the generation of runaway electrons. In the second case, the method is applied to the control of stochastic boundaries allowing one to define a transport barrier within the stochastic boundary and therefore to monitor the volume of closed field lines.
Published: 2005

3. A system close to a threshold of instability

Author: Elena Floriani, Ricardo Lima, Dimitri Volchenkov, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - Ex E8 Dynamique non linéaire, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Universität Bielefeld = Bielefeld University, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Floriani, Elena, and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, [PHYS.PHYS.PHYS-CLASS-PH]Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph], Distribution (number theory), General Physics and Astronomy, Statistical and Nonlinear Physics, Statistical model, 01 natural sciences, Instability, 010305 fluids & plasmas, Control theory, 0103 physical sciences, [PHYS.PHYS.PHYS-CLASS-PH] Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph], Statistical physics, 010306 general physics, Mathematical Physics
Abstract: International audience; We propose a probabilistic model for a system at a threshold of instability. The distribution of residence times below the threshold that characterizes the properties of the system is studied analytically in various cases.
Published: 2003

4. Variation in FTO contributes to childhood obesity and severe adult obesity

Author: Stéphane Cauchi, Cécile Lecoeur, Peter Kovacs, Jacques Weill, Jérôme Delplanque, Pierre Bougnères, Claire Levy-Marchal, Vincent Vatin, Wieland Kiess, Serge Hercberg, Sophie Gallina, Emmanuelle Durand, Lena M. S. Carlsson, Jean-Claude Chèvre, Emmanuel Vaillant, Natascha Potoczna, Beverley Balkau, Antje Körner, Catherine Le Stunff, Juan Ruiz, François Pattou, Fritz F. Horber, David Meyre, Philippe Froguel, Michel Marre, Peter Jacobson, Christian Dina, Génétique des maladies multifactorielles (GMM), Université de Lille, Droit et Santé-Centre National de la Recherche Scientifique (CNRS), Institut de Biologie de Lille (IBL), Institut Pasteur de Lille, Réseau International des Instituts Pasteur (RIIP)-Réseau International des Instituts Pasteur (RIIP), Institut de Chimie de la Matière Condensée de Bordeaux (ICMCB), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), Développement artériel, Université Paris Descartes - Paris 5 (UPD5)-Institut National de la Santé et de la Recherche Médicale (INSERM), Mercator Océan, Société Civile CNRS Ifremer IRD Météo-France SHOM, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Universidad Politécnica de Madrid (UPM), Laboratoire d'Ingénierie des Projets Industriels, Ecole Nationale Supérieure de Synthèses, de Procédés et d'Ingénierie Chimiques d'Aix-Marseille (LIPI - ENSSPICAM), Université Paul Cézanne - Aix-Marseille 3, Centro de Estudios en Semiconductores (C.E.S.), Dpto. Física, Fac. Ciencias, Universidad de los Andes [Bogota], Instituto de Quimica, Universidade Estadual de Campinas (UNICAMP), Laboratoire de chimie organique et organométallique (LCOO), Université Sciences et Technologies - Bordeaux 1-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Service d'endocrinologie pédiatrique [CHU Lille], Hôpital Jeanne de Flandre [Lille]-Centre Hospitalier Régional Universitaire [Lille] (CHRU Lille), Liquides Ioniques et Interfaces Chargées (LI2C), Centre National de la Recherche Scientifique (CNRS)-ESPCI ParisTech-Université Pierre et Marie Curie - Paris 6 (UPMC), Dr. Horber Adipositas Stiftung, Unité de Recherche en Epidémiologie Nutritionnelle (UREN), Institut National de la Santé et de la Recherche Médicale (INSERM)-Université Sorbonne Paris Cité (USPC)-Université Paris 13 (UP13)-Conservatoire National des Arts et Métiers [CNAM] (CNAM)-Institut National de la Recherche Agronomique (INRA), Déterminants génétiques du diabète de type 2 et de ses complications vasculaires ((U 695)), Université Paris Diderot - Paris 7 (UPD7)-Institut National de la Santé et de la Recherche Médicale (INSERM), Service d'endocrinologie, diabétologie et nutrition [CHU Bichat], Assistance publique - Hôpitaux de Paris (AP-HP) (APHP)-AP-HP - Hôpital Bichat - Claude Bernard [Paris]-Université Paris Diderot - Paris 7 (UPD7), Recherche en épidémiologie et biostatistique, Université Paris-Sud - Paris 11 (UP11)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Institut National de la Santé et de la Recherche Médicale (INSERM), Epidémiologie cardiovasculaire et métabolique, Section of Genomic Medicine, Imperial College London, Genome Centre, Imperial College London-Hammersmith campus, Institut de biologie de Lille - UMS 3702 (IBL), Réseau International des Instituts Pasteur (RIIP)-Réseau International des Instituts Pasteur (RIIP)-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER)-Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER), Universidad de los Andes [Bogota] (UNIANDES), Universidade Estadual de Campinas = University of Campinas (UNICAMP), Université Sciences et Technologies - Bordeaux 1 (UB)-Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie - Paris 6 (UPMC)-Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Université Paris 13 (UP13)-Institut National de la Recherche Agronomique (INRA)-Conservatoire National des Arts et Métiers [CNAM] (CNAM), HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-Université Sorbonne Paris Cité (USPC)-Institut National de la Santé et de la Recherche Médicale (INSERM), Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-AP-HP - Hôpital Bichat - Claude Bernard [Paris], Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Université Paris Diderot - Paris 7 (UPD7), Université Paris-Sud - Paris 11 (UP11)-Institut National de la Santé et de la Recherche Médicale (INSERM), Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB), Université Paris 13 (UP13)-Institut National de la Recherche Agronomique (INRA)-Conservatoire National des Arts et Métiers [CNAM] (CNAM)-Université Sorbonne Paris Cité (USPC)-Institut National de la Santé et de la Recherche Médicale (INSERM), Université de Lille-Institut Pasteur de Lille, Réseau International des Instituts Pasteur (RIIP)-Réseau International des Instituts Pasteur (RIIP)-Centre National de la Recherche Scientifique (CNRS), Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS)-Institut Polytechnique de Bordeaux-Université de Bordeaux (UB), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Institut National de la Santé et de la Recherche Médicale (INSERM)-Université Paris Diderot - Paris 7 (UPD7), Génétique des maladies multifactorielles ( GMM ), Université de Lille, Droit et Santé-Centre National de la Recherche Scientifique ( CNRS ), Institut de Biologie de Lille ( IBL ), Réseau International des Instituts Pasteur ( RIIP ) -Réseau International des Instituts Pasteur ( RIIP ), Physique, Université de Lille, Sciences Humaines et Sociales, Institut de Chimie de la Matière Condensée de Bordeaux ( ICMCB ), Centre National de la Recherche Scientifique ( CNRS ) -Université de Bordeaux ( UB ), Université Paris Descartes - Paris 5 ( UPD5 ) -Institut National de la Santé et de la Recherche Médicale ( INSERM ), Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Universidad Politécnica de Madrid ( UPM ), Laboratoire d'Ingénierie des Projets Industriels, Ecole Nationale Supérieure de Synthèses, de Procédés et d'Ingénierie Chimiques d'Aix-Marseille ( LIPI - ENSSPICAM ), Universidad de Los Andes, Universidade Estadual de Campinas ( UNICAMP ), Laboratoire de chimie organique et organométallique ( LCOO ), Université Sciences et Technologies - Bordeaux 1-Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre Hospitalier Régional Universitaire [Lille] ( CHRU Lille ) -Hôpital Jeanne de Flandre [Lille], Liquides Ioniques et Interfaces Chargées ( LI2C ), Université Pierre et Marie Curie - Paris 6 ( UPMC ) -ESPCI ParisTech-Centre National de la Recherche Scientifique ( CNRS ), Unité de Recherche en Epidémiologie Nutritionnelle ( UREN ), Université Paris 13 ( UP13 ) -Institut National de la Recherche Agronomique ( INRA ) -Conservatoire National des Arts et Métiers [CNAM] ( CNAM ) -Université Sorbonne Paris Cité ( USPC ) -Institut National de la Santé et de la Recherche Médicale ( INSERM ), Déterminants génétiques du diabète de type 2 et de ses complications vasculaires, Université Paris Diderot - Paris 7 ( UPD7 ) -Institut National de la Santé et de la Recherche Médicale ( INSERM ), Assistance publique - Hôpitaux de Paris (AP-HP)-AP-HP - Hôpital Bichat - Claude Bernard [Paris]-Université Paris Diderot - Paris 7 ( UPD7 ), and Université Paris-Sud - Paris 11 ( UP11 ) -Institut National de la Santé et de la Recherche Médicale ( INSERM ) -Institut National de la Santé et de la Recherche Médicale ( INSERM )
Subjects: Male, MESH: Introns, Variation (Genetics), FTO gene, Body Mass Index, MESH: Variation (Genetics), Cohort Studies, 0302 clinical medicine, MESH : Child, SH2B1, MESH: Child, MESH: Obesity, MESH : Female, Age of Onset, [ SDV.GEN.GH ] Life Sciences [q-bio]/Genetics/Human genetics, Child, MESH: Cohort Studies, Adiposity, 0303 health sciences, MESH: Middle Aged, MESH : Variation (Genetics), Genetics of obesity, MESH: Polymorphism, Single Nucleotide, MESH : Polymorphism, Single Nucleotide, INSIG2, MESH: Genetic Predisposition to Disease, MESH : Chromosomes, Human, Pair 16, Single Nucleotide, MESH : Adult, Middle Aged, MESH: Case-Control Studies, MESH : Age of Onset, Europe, Alpha-Ketoglutarate-Dependent Dioxygenase FTO, Body Composition, MESH : Obesity, Female, Human, Adult, MESH : Case-Control Studies, medicine.medical_specialty, MESH : Male, MESH : Body Composition, MESH: Age of Onset, MESH : Europe, MESH : Cohort Studies, 030209 endocrinology & metabolism, Biology, MESH : Introns, Chromosomes, Childhood obesity, MESH: Body Mass Index, 03 medical and health sciences, MESH : Adiposity, Internal medicine, Genetics, medicine, Humans, MESH : Middle Aged, Genetic Predisposition to Disease, Obesity, Polymorphism, MESH: Adiposity, 030304 developmental biology, MESH: Humans, Pair 16, MESH : Humans, MESH: Adult, MESH: Body Composition, medicine.disease, Introns, MESH: Male, MESH : Body Mass Index, Endocrinology, [SDV.GEN.GH]Life Sciences [q-bio]/Genetics/Human genetics, Case-Control Studies, Attributable risk, MESH : Genetic Predisposition to Disease, MESH: Europe, MESH: Female, MESH: Chromosomes, Human, Pair 16
Abstract: The authors identified a set of SNPs in the first intron of the FTO (fat mass and obesity associated) gene on chromosome 16q12.2 that is consistently strongly associated with early-onset and severe obesity in both adults and children of European ancestry with an experiment-wise P value of 1.67 x 10(-26) in 2,900 affected individuals and 5,100 controls. The at-risk haplotype yields a proportion of attributable risk of 22% for common obesity. They conclude that FTO contributes to human obesity and hence may be a target for subsequent functional analyses.
Published: 2007

5. THz spectroscopy to probe long-range electrodynamic interactions between proteins

Author: S. Ruffenach, M. Lechelon, Y. Meriguet, M. Gori, I. Nardecchia, E. Floriani, D. Coquillat, F. Teppe, S. Mailfert, D. Marguet, P. Ferrier, L. Varani, J. Sturgis, M. Pettini, J. Torres, Laboratoire Charles Coulomb (L2C), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E7 Systèmes dynamiques : théories et applications, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre d'Immunologie de Marseille - Luminy (CIML), Aix Marseille Université (AMU)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS), Institut d’Electronique et des Systèmes (IES), Modélisation et Spectroscopie THz (MOST), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Istituto Nazionale di Astrofisica (INAF), Istituto Nazionale di Fisica Nucleare (INFN), Capteurs et Instrumentations (CI), and Photonique et Ondes (PO)
Subjects: [PHYS]Physics [physics]
Abstract: International audience
Published: 2022

6. Nonlinear gyrofluid simulations of collisionless reconnection

Author: Emanuele Tassi, Francois Waelbroeck, Daniela Grasso, Dipartimento di Energia [Torino] (DENERG), Politecnico di Torino = Polytechnic of Turin (Polito), Istituto Sistemi Complessi [ROME] (ISC), National Research Council of Italy | Consiglio Nazionale delle Ricerche (CNR), nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institute for Fusion Studies (IFS), University of Texas at Austin [Austin], ANR-07-BLAN-0178,EGYPT,Etude GYrocinétique des Plasmas Turbulents(2007), Consiglio Nazionale delle Ricerche [Roma] (CNR), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Physics, Electron density, Gyroradius, Magnetic reconnection, Plasma, Electron, Condensed Matter Physics, 01 natural sciences, 010305 fluids & plasmas, Computational physics, Ion, Cascade, Physics::Plasma Physics, [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], 0103 physical sciences, Physics::Space Physics, Atomic physics, Magnetohydrodynamics, 010306 general physics
Abstract: International audience; The Hamiltonian gyrofluid model recently derived by Waelbroeck et al. [Phys. Plasmas {\bf 16}, 032109 (2009)], is used to investigate nonlinear collisionless reconnection with a strong guide field by means of numerical simulations. Finite ion Larmor radius gives rise to a cascade of the electrostatic potential to scales below both the ion gyroradius and the electron skin depth. This cascade is similar to that observed previously for the density and current in models with cold ions. In addition to density cavities, the cascades create electron beams at scales below the ion gyroradius. The presence of finite ion temperature is seen to modify, inside the magnetic island, the distribution of the velocity fields that advect two Lagrangian invariants of the system. As a consequence, the fine structure in the electron density is confined to a layer surrounding the separatrix. Finite ion Larmor radius effects produce also a different partition between the electron thermal, potential, and kinetic energy, with respect to the cold ion case. Other aspects of the dynamics such as the reconnection rate and the stability against Kelvin-Helmholtz modes, are similar to simulations with finite electron compressibility but cold ions.
Published: 2010

7. Gyrofluid simulations of collisionless reconnection in the presence of diamagnetic effects

Author: Francois Waelbroeck, Daniela Grasso, Emanuele Tassi, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Institute for Fusion Studies (IFS), University of Texas at Austin [Austin], Dipartimento di Energia [Torino] (DENERG), Politecnico di Torino = Polytechnic of Turin (Polito), Istituto Sistemi Complessi [ROME] (ISC), Consiglio Nazionale delle Ricerche [Roma] (CNR), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and National Research Council of Italy | Consiglio Nazionale delle Ricerche (CNR)
Subjects: History, Electron density, Guiding center, Gyroradius, FOS: Physical sciences, 01 natural sciences, 010305 fluids & plasmas, Education, Ion, symbols.namesake, [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], Physics::Plasma Physics, 0103 physical sciences, Numerical simulations, Plasma kinetic equations, Fisica del plasma, riconnessione magnetica, 010306 general physics, Physics, Condensed matter physics, Magnetic reconnection, Charged particle, Physics - Plasma Physics, Computer Science Applications, Plasma Physics (physics.plasm-ph), magnetic reconnection, diamagnetic effects, symbols, Diamagnetism, Hamiltonian (quantum mechanics)
Abstract: International audience; The effects of the ion Larmor radius on magnetic reconnection are investigated by means of numerical simulations, with a Hamiltonian gyrofluid model. In the linear regime, it is found that ion diamagnetic effects decrease the growth rate of the dominant mode. Increasing ion temperature tends to make the magnetic islands propagate in the ion diamagnetic drift direction. In the nonlinear regime, diamagnetic effects reduce the final width of the island. Unlike the electron density, the guiding center density does not tend to distribute along separatrices and at high ion temperature, the electrostatic potential exhibits the superposition of a small scale structure, related to the electron density, and a large scale structure, related to the ion guiding-center density.
Published: 2010

8. Nonlinear Dynamics of Recollisions in the Double Ionization Processes of Atoms in Strong Fields

Author: F. Mauger, C. Chandre, T. Uzer, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Center for Nonlinear Science, School of Physics, and Georgia Institute of Technology [Atlanta]
Subjects: Physics, [PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Atomic Physics (physics.atom-ph), Double ionization, FOS: Physical sciences, 020206 networking & telecommunications, 02 engineering and technology, Electron, Electromagnetic radiation, Physics - Atomic Physics, Nonlinear system, Phase space, Ionization, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Atomic physics, 32.80.Rm, 05.45.Ac, Symplectomorphism, Lepton
Abstract: International audience; Double ionization processes triggered by intense linearly polarized laser fields have revealed the paramount role of electron-electron collisions. It has been shown that the correlated dynamics of such electronic collisions can be modeled by a two dimensional symplectic map which captures the bare essentials of the energy exchange processes occurring during a recollision between the two electrons. We investigate linear and nonlinear properties of this map and connect them to the dynamical organization of phase space and related statistical data
Published: 2010

9. Dynamics of recollisions for the double ionization of atoms in intense laser fields

Author: Cristel Chandre, Turgay Uzer, Francois Mauger, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Center for Nonlinear Science, School of Physics, Georgia Institute of Technology [Atlanta], and PICS 4173 - CNRS, NSF
Subjects: Physics, Field (physics), [PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Atomic Physics (physics.atom-ph), Double ionization, FOS: Physical sciences, Electron, Laser, 01 natural sciences, Electromagnetic radiation, Atomic and Molecular Physics, and Optics, 010305 fluids & plasmas, law.invention, Physics - Atomic Physics, Core electron, law, Ionization, 0103 physical sciences, Physics::Atomic Physics, Atomic physics, 010306 general physics, 32.80.Rm, 05.45.Ac, Lepton
Abstract: International audience; We investigate the dynamics of electron-electron recollisions in the double ionization of atoms in strong laser fields. The statistics of recollisions can be reformulated in terms of an area-preserving map from the observation that the outer electron is driven by the laser field to kick the remaining core electrons periodically. The phase portraits of this map reveals the dynamics of these recollisions in terms of their probability and efficiency.
Published: 2010
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10. From recollisions to the knee: A road map for double ionization in intense laser fields

Author: Francois Mauger, Cristel Chandre, Turgay Uzer, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Center for Nonlinear Science, School of Physics, Georgia Institute of Technology [Atlanta], and CNRS - PICS 4173
Subjects: Physics, [PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Field (physics), Double ionization, General Physics and Astronomy, Key features, Laser, 01 natural sciences, Electromagnetic radiation, 010305 fluids & plasmas, law.invention, Physics - Atomic Physics, law, Ionization, Laser intensity, 0103 physical sciences, Physics::Atomic Physics, Atomic physics, 32.80.Rm, 05.45.Ac, 010306 general physics
Abstract: International audience; We examine the nature and statistical properties of electron-electron collisions in the recollision process in a strong laser field. The separation of the double ionization yield into sequential and nonsequential components leads to a bell-shaped curve for the nonsequential probability and a monotonically rising one for the sequential process. We identify key features of the nonsequential process and connect our findings in a simplified model which reproduces the knee shape for the probability of double ionization with laser intensity and associated trends.
Published: 2009

11. Bottlenecks to vibrational energy flow in OCS: Structures and mechanisms

Author: Paskauskas, R., Chandre, C., Uzer, T., Center for Nonlinear Sciences, School of Physics (CNS), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Chemical Physics (physics.chem-ph), Physics - Chemical Physics, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], FOS: Physical sciences, [PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph], Chaotic Dynamics (nlin.CD), Physics::Chemical Physics, Nonlinear Sciences - Chaotic Dynamics
Abstract: Finding the causes for the nonstatistical vibrational energy relaxation in the planar carbonyl sulfide (OCS) molecule is a longstanding problem in chemical physics: Not only is the relaxation incomplete long past the predicted statistical relaxation time, but it also consists of a sequence of abrupt transitions between long-lived regions of localized energy modes. We report on the phase space bottlenecks responsible for this slow and uneven vibrational energy flow in this Hamiltonian system with three degrees of freedom. They belong to a particular class of two-dimensional invariant tori which are organized around elliptic periodic orbits. We relate the trapping and transition mechanisms with the linear stability of these structures., 13 pages, 13 figures
Published: 2009

12. Tuning Mixing within a Droplet for Digital Microfluidics

Author: Chabreyrie, R., Vainchtein, D., Chandre, C., Singh, P., Aubry, N., Department of Mechanical Engineering at Carnegie Mellon, Carnegie Mellon University [Pittsburgh] (CMU), Center for Nonlinear Science (CNS-GATECH), Georgia Institute of Technology [Atlanta], Space Research Institute of the Russian Academy of Sciences (IKI), Russian Academy of Sciences [Moscow] (RAS), nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Department of Mechanical Engineering, and New Jersey Institute of Technology [Newark] (NJIT)
Subjects: Physics::Fluid Dynamics, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics
Abstract: The design of strategies to generate efficient mixing is crucial for a variety of applications, particularly digital microfluidic devices that use small "discrete" fluid volumes (droplets) as fluid carriers and microreactors. In recent work, we have presented an approach for the generation and control of mixing inside a translating spherical droplet. This was accomplished by considering Stokes' flow within a droplet proceeding downstream to which we have superimposed time dependent (sinusoidal) rotation. The mixing obtained is the result of the stretching and folding of material lines which increase exponentially the surface contact between reagents. The mixing strategy relies on the generation of resonances between the steady and the unsteady part of the flow, which is achieved by tuning the parameters of the periodic rotation. Such resonances, in our system, offer the possibility of controlling both the location and the size of the mixing region within the droplet, which may be useful to manufacture inhomogeneous particles (such as Janus particles). While the period and amplitude of the periodic rotation play a major role, it is shown here by using a triangular function that the particular shape of the rotation (as a function of time) has a minor influence. This finding demonstrates the robustness of the proposed mixing strategy, a crucial point for its experimental realization., 17 pages,6 figures. to appear Mechanics Research Communications
Published: 2009

13. Controlling Mixing Inside a Droplet by Time Dependent Rigid-body Rotation

Author: Cristel Chandre, Nadine Aubry, Rodolphe Chabreyrie, Dmitri Vainchtein, Pushpendra Singh, Department of Mechanical Engineering at Carnegie Mellon, Carnegie Mellon University [Pittsburgh] (CMU), Center for Nonlinear Science (CNS-GATECH), Georgia Institute of Technology [Atlanta], Space Research Institute of the Russian Academy of Sciences (IKI), Russian Academy of Sciences [Moscow] (RAS), nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Department of Mechanical Engineering, New Jersey Institute of Technology [Newark] (NJIT), and Chandre, Cristel
Subjects: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Materials science, Cellular Automata and Lattice Gases (nlin.CG), Drop (liquid), Microfluidics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Perturbation (astronomy), Physics - Fluid Dynamics, [PHYS.PHYS.PHYS-FLU-DYN] Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Mechanics, 01 natural sciences, 010305 fluids & plasmas, Vortex, Physics::Fluid Dynamics, Chaotic mixing, Superposition principle, Amplitude, 0103 physical sciences, 010306 general physics, Nonlinear Sciences - Cellular Automata and Lattice Gases, Complete mixing
Abstract: The use of microscopic discrete fluid volumes (i.e., droplets) as microreactors for digital microfluidic applications often requires mixing enhancement and control within droplets. In this work, we consider a translating spherical liquid droplet to which we impose a time periodic rigid-body rotation which we model using the superposition of a Hill vortex and an unsteady rigid body rotation. This perturbation in the form of a rotation not only creates a three-dimensional chaotic mixing region, which operates through the stretching and folding of material lines, but also offers the possibility of controlling both the size and the location of the mixing. Such a control is achieved by judiciously adjusting the three parameters that characterize the rotation, i.e., the rotation amplitude, frequency and orientation of the rotation. As the size of the mixing region is increased, complete mixing within the drop is obtained., Comment: 6 pages, 6 figures
Published: 2008

14. Bifurcations as dissociation mechanism in bichromatically driven diatomic molecules

Author: T. Uzer, S. Huang, Cristel Chandre, Center for Nonlinear Science - School of Physics (CNS-GATECH), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, FOS: Physical sciences, General Physics and Astronomy, Laser, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Diatomic molecule, Dissociation (chemistry), Phase lag, Small set, 010305 fluids & plasmas, law.invention, Amplitude, law, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Physics::Atomic and Molecular Clusters, Periodic orbits, Physics::Atomic Physics, Chaotic Dynamics (nlin.CD), Physical and Theoretical Chemistry, Atomic physics, Physics::Chemical Physics, 010306 general physics
Abstract: International audience; We discuss the influence of periodic orbits on the dissociation of a diatomic Morse molecule driven by a strong bichromatic laser. Through the stability of periodic orbits we analyze the dissociation probability when parameters like the two amplitudes and the phase lag of the laser field, are varied. We find that qualitative features of dissociation can be obtained by considering a small set of short periodic orbits. The agreement with direct simulations demonstrates the importance of bifurcations of these short periodic orbits for the dissociation dynamics of diatomic molecules.
Published: 2008

15. Dynamical bottlenecks to intramolecular energy flow

Author: R. Paškauskas, Turgay Uzer, C. Chandre, Center for Nonlinear Sciences, School of Physics (CNS), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Vibrational energy, Chaotic, General Physics and Astronomy, Torus, Trapping, 01 natural sciences, 3. Good health, 010305 fluids & plasmas, chemistry.chemical_compound, Classical mechanics, chemistry, Chemical physics, Energy flow, Intramolecular force, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0103 physical sciences, Molecule, [PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph], Physics::Chemical Physics, 010306 general physics, Carbonyl sulfide
Abstract: 4 pages, 4 figures; International audience; Vibrational energy flows unevenly in molecules, repeatedly going back and forth between trapping and roaming. We identify bottlenecks between diffusive and chaotic behavior, and describe generic mechanisms of these transitions, taking the carbonyl sulphide molecule OCS as a case study. The bottlenecks are found to be lower-dimensional tori; their bifurcations and unstable manifolds govern the transition mechanisms.
Published: 2007

16. Periodic orbit bifurcations as an ionization mechanism: The bichromatically driven hydrogen atom

Author: S. Huang, Turgay Uzer, Cristel Chandre, Center for Nonlinear Sciences, School of Physics (CNS), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Period-doubling bifurcation, Field (physics), FOS: Physical sciences, Hydrogen atom, Parameter space, Condensed Matter Physics, Nonlinear Sciences - Chaotic Dynamics, 7. Clean energy, 01 natural sciences, Atomic and Molecular Physics, and Optics, 010305 fluids & plasmas, Amplitude, Ionization, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Physics::Atomic Physics, Atomic physics, Chaotic Dynamics (nlin.CD), 010306 general physics, Quantum, Linear stability
Abstract: We investigate the multiphoton ionization of hydrogen driven by a strong bichromatic microwave field. In a regime where classical and quantum simulations agree, periodic orbit analysis captures the mechanism: Through the linear stability of periodic orbits we match qualitatively the variation of experimental ionization rates with control parameters such as the amplitudes of the two modes of the field or their relative phases. Moreover, we discuss an empirical formula which reproduces quantum simulations to a high degree of accuracy. This quantitative agreement shows the mechanism by which short periodic orbits organize the dynamics in multiphoton ionization. We also analyze the effect of longer pulse durations. Finally we compare our results with those based on the peak amplitude rule. Both qualitative and quantitative analyses are implemented for different mode locked fields. In parameter space, the localization of the period doubling and halving allows one to predict the set of parameters (amplitudes and phase lag) where ionization occurs.
Published: 2007

17. Probing for dynamics of dark energy and curvature of universe with latest cosmological observations

Author: Jean-Marc Virey, Zong-Hong Zhu, Jun-Qing Xia, Gong-Bo Zhao, Charling Tao, Hong Li, Xinmin Zhang, Institute of High Energy Physics [Beijing] (IHEP), Chinese Academy of Sciences [Changchun Branch] (CAS), Department of Astronomy [Beijing], Peking University [Beijing], Centre de Physique des Particules de Marseille (CPPM), Aix Marseille Université (AMU)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Department of Physics [Hong Kong University of Science and Technology], Hong Kong University of Science and Technology (HKUST), Electron Microscopy Laboratory, Peking University [Beijing]-School of Physics, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), China Earthquake Administration, Beijing ( CEA BEIJING ), China Earthquake Administration, Institute of Geology, Centre de Physique des Particules de Marseille ( CPPM ), Centre National de la Recherche Scientifique ( CNRS ) -Institut National de Physique Nucléaire et de Physique des Particules du CNRS ( IN2P3 ) -Aix Marseille Université ( AMU ), Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Department of Physics, and Hong Kong University of Science and Technology ( HKUST )
Subjects: Equation of state, Nuclear and High Energy Physics, Cosmic microwave background, Cosmic background radiation, FOS: Physical sciences, Astrophysics, Astrophysics::Cosmology and Extragalactic Astrophysics, [ PHYS.ASTR.CO ] Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], 01 natural sciences, 7. Clean energy, Omega, Cosmology, [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], astro-ph, 0103 physical sciences, 010303 astronomy & astrophysics, [ SDU.ASTR ] Sciences of the Universe [physics]/Astrophysics [astro-ph], Physics, [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph], 010308 nuclear & particles physics, Astrophysics (astro-ph), Shape of the universe, Supernova, 13. Climate action, Dark energy
Abstract: We use the newly released 182 Type Ia supernova data combined with the third-year Wilkinson Microwave Anisotropic Probe data (WMAP3) and large scale structure (LSS) information including SDSS and 2dFGRS to constrain the dark energy equation of state (EoS) as well as the curvature of universe $\Omega_K$. Using the full dataset of Cosmic Microwave Background (CMB) and LSS rather than the shift parameter and linear growth factor, we make a Markov Chain Monte Carlo (MCMC) global fit, while paying particular attention to the dark energy perturbation. Parameterizing the EoS as $w_{DE}(a) = w_{0} + w_{1}(1-a)$, we find the best fit of ($w_0,w_1$) is ($-1.053,0.944$) and for $w_{DE}(a) = w_{0} + w_{1}\sin({3/2}\pi \ln(a))$, the best fit for ($w_0,w_1$) is ($-1.614,-1.046$). We find that a flat universe is a good approximation, namely, $|\Omega_K|>0.06$ has been excluded by 2$\sigma$ yet the inclusion of $\Omega_K$ can affect the measurement of DE parameters owing to their correlation and the present systematic effects of SNIa measurements., Comment: The wrongly-generated last page of pdf file is removed
Published: 2007

18. Dynamics and geometry of the Rauzy-Veech induction for quadratic differentials

Author: Boissy, Corentin, Lanneau, Erwan, Bernardo, Elizabeth, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche Mathématique de Rennes (IRMAR), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), and Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS )
Subjects: 37E05, 37D40, Mathematics - Geometric Topology, Mathematics::Dynamical Systems, [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], FOS: Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Geometric Topology (math.GT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, ComputingMilieux_MISCELLANEOUS
Abstract: Interval exchange maps are related to geodesic flows on translation surfaces; they correspond to the first return maps of the vertical flow on a transverse segment. The Rauzy-Veech induction on the space of interval exchange maps provides a powerful tool to analyze the Teichmueller geodesic flow on the moduli space of Abelian differentials. Several major results have been proved using this renormalization. Danthony and Nogueira introduced in 1988 a natural generalization of interval exchange transformations, namely the linear involutions. These maps are related to general measured foliations on surfaces (orientable or not). In this paper we are interested by such maps related to geodesic flow on (orientable) flat surfaces with Z/2Z linear holonomy. We relate geometry and dynamics of such maps to the combinatorics of generalized permutations. We study an analogue of the Rauzy-Veech induction and give an efficient combinatorial characterization of its attractors. We establish a natural bijection between the extended Rauzy classes of generalized permutations and connected components of the strata of meromorphic quadratic differentials with at most simple poles, which allows, in particular, to classify the connected components of all exceptional strata., Comment: 50 pages, 16 figures. References added, minor corrections. Paper submitted
Published: 2007
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19. Reducing multiphoton ionization in a linearly polarized microwave field by local control

Author: S. Huang, Turgay Uzer, Cristel Chandre, Center for Nonlinear Science - School of Physics (CNS-GATECH), Georgia Institute of Technology [Atlanta], nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Hydrogen, Linear polarization, Stochastic process, chemistry.chemical_element, FOS: Physical sciences, Photoionization, Hydrogen atom, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Atomic and Molecular Physics, and Optics, 010305 fluids & plasmas, symbols.namesake, chemistry, Ionization, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], symbols, Physics::Atomic and Molecular Clusters, Physics::Atomic Physics, Atomic physics, Chaotic Dynamics (nlin.CD), 010306 general physics, Hamiltonian (quantum mechanics), Microwave
Abstract: We present a control procedure to reduce the stochastic ionization of hydrogen atom in a strong microwave field by adding to the original Hamiltonian a comparatively small control term which might consist of an additional set of microwave fields. This modification restores select invariant tori in the dynamics and prevents ionization. We demonstrate the procedure on the one-dimensional model of microwave ionization., 8 pages
Published: 2006

20. Chaotic Advection and Targeted Mixing

Author: Tounsia Benzekri, Xavier Leoncini, Cristel Chandre, Michel Vittot, Ricardo Lima, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Physique des interactions ioniques et moléculaires (PIIM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)
Subjects: Physics, Advection, Chaotic, FOS: Physical sciences, General Physics and Astronomy, Perturbation (astronomy), Mechanics, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Vortex, Nonlinear Sciences::Chaotic Dynamics, Physics::Fluid Dynamics, Chaotic mixing, Classical mechanics, Bounded function, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0103 physical sciences, Chaotic Dynamics (nlin.CD), 010306 general physics, 05.45.Ac, 05.60.Cd, 47.27.Te
Abstract: The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection exhibits two remarkable properties which do not hold in the case of a generic perturbation: Particles remain trapped within a specific domain bounded by two oscillating barriers (suppression of chaotic transport along the channel), and the stochastic sea seems to cover this whole bounded domain (enhancement of mixing within the rolls).
Published: 2006

21. Reducing or enhancing chaos using periodic orbits

Author: Romain Bachelard, Xavier Leoncini, Cristel Chandre, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Physique des interactions ioniques et moléculaires (PIIM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Euratom/CEA (contract EUR 344-88-1 FUA F), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT)
Subjects: Applied Mathematics, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, Perturbation (astronomy), Statistical and Nonlinear Physics, Torus, 05.45.-a, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Two degrees of freedom, symbols.namesake, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], symbols, Periodic orbits, Chaotic Dynamics (nlin.CD), 010306 general physics, Hamiltonian (quantum mechanics), Mathematical Physics, Mathematics, Linear stability
Abstract: International audience; A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neighborhood of the chosen periodic orbits. An application on a paradigmatic system, a forced pendulum, illustrates the method.
Published: 2006

22. Control of the chaotic velocity dispersion of a cold electron beam interacting with electrostatic waves

Author: Cristel Chandre, Ricardo Lima, Guido Ciraolo, Marco Pettini, Michel Vittot, Département de Recherche sur la Fusion Contrôlée (DRFC), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Istituto Nazionale di Astrofisica (INAF), Istituto Nazionale di Fisica Nucleare (INFN), Euratom/CEA (contract EUR 344-88-1 FUA F), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Physics, Nuclear and High Energy Physics, Chaotic, FOS: Physical sciences, Velocity dispersion, Nonlinear Sciences - Chaotic Dynamics, Kinetic energy, 01 natural sciences, 010305 fluids & plasmas, Hamiltonian system, Classical mechanics, Quantum electrodynamics, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Cathode ray, 05.45.-a, 05.45.Gg, Chaotic Dynamics (nlin.CD), Hamiltonian systems, 010306 general physics, Instrumentation, control, Coherence (physics)
Abstract: International audience; In this article we present an application of a method of control of Hamiltonian systems to the chaotic velocity diffusion of a cold electron beam interacting with electrostatic waves. We numerically show the efficiency and robustness of the additional small control term in restoring kinetic coherence of the injected electron beam.
Published: 2006

23. Limit theorems in the stadium billiard

Author: Sébastien Gouëzel, Péter Bálint, Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ), arXiv, Import, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche Mathématique de Rennes (IRMAR), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)
Subjects: Normalization (statistics), Pure mathematics, 37D50, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], 37A30, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), 37A50, 01 natural sciences, Stadium, 010305 fluids & plasmas, 0103 physical sciences, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Mathematical Physics, Mathematics, Central limit theorem, 010102 general mathematics, Statistical and Nonlinear Physics, Observable, Invariant (physics), Binary logarithm, Exponential function, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Dynamical billiards, [ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]
Abstract: We prove that the Birkhoff sums for ``almost every'' relevant observable in the stadium billiard obey a non-standard limit law. More precisely, the usual central limit theorem holds for an observable if and only if its integral along a one-codimensional invariant set vanishes, otherwise a $\sqrt{n\log n}$ normalization is needed. As one of the two key steps in the argument, we obtain a limit theorem that holds in Young towers with exponential return time statistics in general, an abstract result that seems to be applicable to many other situations., Comment: 46 pages
Published: 2006

24. Channelling chaos by building barriers

Author: Fabrice Doveil, Alessandro Macor, Michel Vittot, Guido Ciraolo, Cristel Chandre, Ricardo Lima, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Physique des interactions ioniques et moléculaires (PIIM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)
Subjects: Turbulence, Computer science, Chaotic, General Physics and Astronomy, FOS: Physical sciences, Mechanics, Traveling-wave tube, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, law.invention, PACS: 05.45.Gg, 52.20.-j, CHAOS (operating system), Theoretical physics, law, Obstacle, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Diffusion (business), Chaotic Dynamics (nlin.CD), 010306 general physics, Realization (systems), Poincaré map
Abstract: International audience; Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in conservative systems. The core of our approach is a small apt modification of the system which channels chaos by building barriers to diffusion. It leads to practical prescriptions for an experimental apparatus to operate in a regular regime (drastic enhancement of confinement). The experimental realization of this control on a Travelling Wave Tube opens the possibility to practically achieve the control of a wide range of systems at a low additional cost of energy.
Published: 2005

25. A Hamiltonian system for interacting Benjamin-Feir resonances

Author: Ricardo Lima, Tounsia Benzekri, Cristel Chandre, Michel Vittot, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT)
Subjects: Chaotic, FOS: Physical sciences, General Physics and Astronomy, 05.45.-a, 47.35.+i, 47.52.+j, 01 natural sciences, 010305 fluids & plasmas, Hamiltonian system, symbols.namesake, 0103 physical sciences, Hamiltonian systems, 010306 general physics, Mathematical Physics, Energy exchange, Physics, Time evolution, Statistical and Nonlinear Physics, Benjamin-Feir resonance, Nonlinear Sciences - Chaotic Dynamics, Conserved quantity, Amplitude, Classical mechanics, Surface wave, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], symbols, Chaotic Dynamics (nlin.CD), Hamiltonian (quantum mechanics)
Abstract: International audience; In this paper, we present a model describing the time evolution of two dimensional surface waves in gravity and infinite depth. The model of six interacting modes derives from the normal form of the system describing the dynamics of surface waves and is governed by a Hamiltonian system of equations of cubic order in the amplitudes of the waves. We derive a Hamiltonian system with two degrees of freedom from this Hamiltonian using conserved quantities. The interactions are those of two coupled Benjamin-Feir resonances. The temporal evolution of the amplitude of the different modes is described according to the parameters of the system. In particular, we study the energy exchange produced by the modulations of the amplitudes of the modes. The evolution of the modes reveals a chaotic dynamics.
Published: 2005

26. Local control of Hamiltonian chaos

Author: Michel Vittot, Guido Ciraolo, Ricardo Lima, Cristel Chandre, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Physics, History, FOS: Physical sciences, Torus, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Computer Science Applications, Education, Hamiltonian system, Phase space, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Chaotic Dynamics (nlin.CD), 010306 general physics, Mathematics::Symplectic Geometry, Hamiltonian (control theory), Mathematical physics
Abstract: International audience; We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation which is small and localized in phase space.
Published: 2004

27. Controlling chaos in area-preserving maps

Author: Yves Elskens, Michel Vittot, Marco Pettini, Guido Ciraolo, Cristel Chandre, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Physique des interactions ioniques et moléculaires (PIIM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Istituto Nazionale di Astrofisica (INAF), Istituto Nazionale di Fisica Nucleare (INFN), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Control of chaos, FOS: Physical sciences, Statistical and Nonlinear Physics, Standard map, Condensed Matter Physics, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Term (time), Hamiltonian system, CHAOS (operating system), Control theory, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Applied mathematics, Chaotic Dynamics (nlin.CD), Hamiltonian systems, 010306 general physics, Control (linguistics), 05.45.-a, 05.45.Gg, control, Mathematics
Abstract: International audience; We describe a method of control of chaos that occurs in area-preserving maps. This method is based on small modifications of the original map by addition of a small control term. We apply this control technique to the standard map and to the tokamap.
Published: 2004

28. Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas

Author: Ricardo Lima, Marco Pettini, Michel Vittot, Guido Ciraolo, Charles Figarella, Cristel Chandre, Philippe Ghendrih, Facolta di Ingegneria (Facolta di Ingegneria), Università degli Studi di Firenze = University of Florence (UniFI), nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Istituto Nazionale di Astrofisica (Istituto Nazionale di Astrofisica), Istituto Nazionale di Fisica Nucleare (INFN), Institut de Recherche sur la Fusion par confinement Magnétique (IRFM), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Università degli Studi di Firenze = University of Florence [Firenze] (UNIFI), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Physics, Integrable system, Hamiltonian model, Turbulence, Chaotic, General Physics and Astronomy, Perturbation (astronomy), FOS: Physical sciences, Statistical and Nonlinear Physics, Plasma, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Hamiltonian system, Nonlinear Sciences::Chaotic Dynamics, Classical mechanics, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Hamiltonian systems, Chaotic Dynamics (nlin.CD), 010306 general physics, control, Mathematical Physics
Abstract: International audience; We present a technique to control chaos in Hamiltonian systems which are close to integrable.By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a model that reproduces turbulent ExB drift and show numerically that the control is able to drastically reduce chaotic transport.
Published: 2004

29. Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

Author: Philippe Ghendrih, Guido Ciraolo, Francoise Briolle, Marco Pettini, Ricardo Lima, Cristel Chandre, Elena Floriani, Charles Figarella, Michel Vittot, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Istituto Nazionale di Astrofisica (INAF), Istituto Nazionale di Fisica Nucleare (INFN), Institut de Recherche sur la Fusion par confinement Magnétique (IRFM), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
Subjects: Physics, Thermonuclear fusion, Degrees of freedom (physics and chemistry), FOS: Physical sciences, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Magnetic field, Hamiltonian system, Classical mechanics, Phase space, Electric field, Quantum electrodynamics, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Chaotic Dynamics (nlin.CD), Diffusion (business), 010306 general physics, Hamiltonian (control theory)
Abstract: It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian system with 1.5 degrees of freedom which models the diffusion of charged test particles in a turbulent electric field across the confining magnetic field in controlled thermonuclear fusion devices. Though still far from practical applications, this result suggests that some strategy to control turbulent transport in magnetized plasmas, in particular tokamaks, is conceivable. The robustness of the control is investigated in terms of a departure from the optimum magnitude, of a varying cut-off at large wave vectors, and of random errors on the phases of the modes. In all three cases, there is a significant region of maximum efficiency in the vicinity of the optimum control term., Comment: 17 pages, 21 figures
Published: 2004

30. Tailoring Phase Space : A Way to Control Hamiltonian Transport

Author: Marco Pettini, Guido Ciraolo, Philippe Ghendrih, Michel Vittot, Cristel Chandre, Ricardo Lima, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), nldyncpt, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Istituto Nazionale di Astrofisica (INAF), Istituto Nazionale di Fisica Nucleare (INFN), Département de Recherche sur la Fusion Contrôlée (DRFC), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT)
Subjects: Physics, Turbulence, General Physics and Astronomy, FOS: Physical sciences, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Charged particle, 010305 fluids & plasmas, Hamiltonian system, Classical mechanics, Electric field, Phase space, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Chaotic Dynamics (nlin.CD), 010306 general physics, 05.45.-a, 05.45.Gg, Hamiltonian (control theory)
Abstract: International audience; We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated barriers of transport without modifying other parts of phase space. We apply this method of localized control to a forced pendulum model and to a system describing the motion of charged particles in a model of turbulent electric field.
Published: 2004
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31. Localised control for non-resonant Hamiltonian systems

Author: Cristel Chandre, Michel Vittot, Guido Ciraolo, Ricardo Lima, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2-Centre de Physique Théorique - UMR 7332 (CPT), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], FOS: Physical sciences, General Physics and Astronomy, Perturbation (astronomy), Dynamical Systems (math.DS), 01 natural sciences, 010305 fluids & plasmas, Hamiltonian system, 0103 physical sciences, FOS: Mathematics, Mathematics - Dynamical Systems, 05.45.-a, 05.45.Gg, 010306 general physics, Mathematical Physics, Control of chaos, Physics, Applied Mathematics, Statistical and Nonlinear Physics, Torus, Standard map, Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences::Chaotic Dynamics, Classical mechanics, Phase space, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Chaotic Dynamics (nlin.CD), Hamiltonian (control theory)
Abstract: International audience; We present a method of localised control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which makes the controlled Hamiltonian more regular. We provide an explicit expression for the control term which is able to recreate invariant (KAM) tori without modifying other parts of phase space. We apply this method of localised control to a forced pendulum model, to the delta-kicked rotor (standard map) and to a non-twist Hamiltonian.
Published: 2004

32. Classification des composantes connexes des strates de l'espace des modules des différentielles quadratiques

Author: Lanneau, Erwan, Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Université Rennes 1, ZORICH Anton(anton.zorich@univ-rennes1.fr), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Guillemer, Marie-Annick
Subjects: espace des modules, [ MATH ] Mathematics [math], billards rationnels, moduli space, Teichmüller geodesic flow, [MATH] Mathematics [math], flot géodésique de Teichmüller, [MATH]Mathematics [math], quadratic differentials, différentielles quadratiques, rational billiards, measured foliations, feuilletages mesurés
Abstract: In this thesis, we study dynamics of the Teichmüller geodesic flow. The origin of this study lies of a very important class of dynamical systems, namely the so-called interval exchange transformations. In classical works in 1982, Masur and Veech has discovered that dynamics of those transformations of the interval is related with the dynamics of the Teichmüller geodesic flow on the moduli spaces of complex curves. The phase space of this flow can be seen as the moduli space of quadratic differentials on a surface. These spaces are naturally stratified by the type of singularities of those differentials. Morever, these strata are preserved by the action of the Teichmüller geodesic flow. Classical results say that these strata carry a natural complex orbifolds structure and are non-empty and non-connected in « general ». The motivation of this work in this thesis come from a fundamental result, proved independently by Masur and by Veech (1982), which says that the Teichmüller geodesic flow acts ergodically on each connected component of each (normalized) stratum, with respect to a finite mass measure preserving. Kontsevich and Zorich have classified the connected components of the strata of the moduli space of Abelian differentials Hg. In this thesis, we give the precis description of the connected components of the strata in the complementary case of Kontsevich-Zorich; that is we describe component of any stratum of the moduli space of quadratic differentials Qg which are not the global square of any Abelian differential. Moreover, we give an explicit formula for the parity of the spin structure of a quadratic differentials inside Qg in terms of the singularities of the stratum. This contradicts a conjecture of Kontsevich-Zorich on the classification of the set the non-hyperelliptic components of Qg by this spin structure. Using this formula, we give an application in the context of rational billiard., Dans cette thèse, nous étudions la dynamique du flot géodésique de Teichmüller. L'origine de cet intérêt provient de l'étude d'une classe très importante de systèmes dynamiques : celle des échanges d'intervalles. Dans des travaux classiques, Masur et Veech montrent en 1982 que la dynamique de ces échanges d'intervalles est reliée avec la dynamique du flot géodésique de Teichmüller sur l'espace des modules des courbes complexes. L'espace des phases de ce flot peut être vu comme l'espace des modules des différentielles quadratiques sur une surface. Ces espaces sont naturellement stratifiés par le type des singularités des formes. De plus ces strates sont préservées par l'action de ce flot. Des résultats classiques affirment que ces strates sont des orbifolds complexes et sont non-vides et non-connexes en « général ». La motivation du travail expliqué dans cette thèse est donnée par le résultat fondamental, démontré indépendamment par Masur et par Veech (1982), qui affirme que le flot géodésique de Teichmüller agit de façon ergodique sur chaque composante connexe de chaque strate (normalisée), par rapport à une mesure invariante de masse finie. Kontsevich et Zorich ont classifié les composantes connexes des strates de l'espace des modules Hg des différentielles abéliennes. Dans cette thèse, nous donnons une description précise des composantes des strates dans le cas complémentaire de celui de Kontsevich- Zorich, c'est-à-dire de l'espace des modules Qg des différentielles quadratiques qui ne sont pas globalement le carré de différentielles abéliennes. Par ailleurs, nous donnons une formule explicite pour le calcul de la structure spin d'une différentielle quadratique de Qg en termes uniquement des singularités de la strate. Ceci contredit une conjecture de Kontsevich-Zorich sur la classification des composantes connexes non-hyperelliptiques de Qg par cette structure spin. En utilisant cette formule, nous donnons une application dans le contexte des billards dans un polygone rationnel.
Published: 2003

33. The Orbit Method in Geometry and Physics

Author: Christian Duval, Valentin Ovsienko, Laurent Guieu, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques de Reims (LMR), Université de Reims Champagne-Ardenne (URCA)-Centre National de la Recherche Scientifique (CNRS), Christian Duval, Laurent Guieu, Valentin Ovsienko, Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Institut Montpelliérain Alexander Grothendieck ( IMAG ), Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Mathématiques de Reims ( LMR ), Université de Reims Champagne-Ardenne ( URCA ) -Centre National de la Recherche Scientifique ( CNRS ), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, [ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR], 010308 nuclear & particles physics, 010102 general mathematics, [ MATH.MATH-SG ] Mathematics [math]/Symplectic Geometry [math.SG], 01 natural sciences, [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR], [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG], [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG], Classical mechanics, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], 0103 physical sciences, Orbit method, Circular orbit, 0101 mathematics
Abstract: International audience; The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion of Alexandre Alexandrovitch's 2^6th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary rep resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable sys tems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas.
Published: 2003

34. Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities

Author: Erwan Lanneau, Institut de Recherche Mathématique de Rennes (IRMAR), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 7332 ( CPT ), Aix Marseille Université ( AMU ) -Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), and Lanneau, Erwan
Subjects: [ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT], Pure mathematics, General Mathematics, [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), Abelian differentials, quadratic differentials, 01 natural sciences, Mathematics - Geometric Topology, Quadratic equation, Mathematics::Algebraic Geometry, 32G15, 30F30, 30F60, 58F18, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], 0103 physical sciences, FOS: Mathematics, Classification theorem, 0101 mathematics, Mathematics - Dynamical Systems, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT], Mathematics, Meromorphic function, Connected component, 010102 general mathematics, Mathematical analysis, Geometric Topology (math.GT), Moduli space, hyperelliptic surfaces, moduli spaces, Component (group theory), Gravitational singularity, 010307 mathematical physics, Stratum
Abstract: Moduli spaces of quadratic differentials with prescribed singularities are not necessarily connected. We describe here all cases when they have a special hyperelliptic connected component. We announce the general classification theorem: up to the four exceptional cases in low genera the strata of meromorphic quadratic differentials are either connected, or have exactly two connected components, and one of the two components is hyperelliptic., references added. 23 pages, 5 figures
Published: 2002

35. The Virasoro group and Lorentzian surfaces: the hyperboloid of one sheet

Author: Christian Duval, Laurent Guieu, Centre de Physique Théorique - UMR 6207 ( CPT ), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon ( UTLN ) -Centre National de la Recherche Scientifique ( CNRS ), Institut Montpelliérain Alexander Grothendieck ( IMAG ), Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Lorentz transformation, Projective structure, 010102 general mathematics, Mathematical analysis, General Physics and Astronomy, Conformal map, 01 natural sciences, [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG], symbols.namesake, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], 0103 physical sciences, symbols, 010307 mathematical physics, Geometry and Topology, Affine transformation, Projective differential geometry, 0101 mathematics, Hyperboloid, Mathematics::Symplectic Geometry, Mathematical Physics, Projective orthogonal group, ComputingMilieux_MISCELLANEOUS, Mathematics, Mathematical physics, Symplectic geometry
Abstract: We investigate, in detail, symplectic equivalence between several conformal classes of Lorentz metrics on the hyperboloid of one sheet H 1,1 ≊ T × T − Δ and affine coadjoint orbits of the group Diff + (Δ) of orientation preserving diffeomorphisms of Δ ≊ T with its natural projective structure. This will allow for generalizations, namely, to the case of arbitrary projective structures on null infinity.
Published: 2000

36. Derivation of reduced two-dimensional fluid models via Dirac’s theory of constrained Hamiltonian systems

Author: Cristel Chandre, Philip J. Morrison, Emanuele Tassi, nldyncpt, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institute for Fusion Studies (IFS), University of Texas at Austin [Austin], and contrat Euratom-CEA, financement US-DOE
Subjects: Physics, Hamiltonian model, FOS: Physical sciences, Plasma, Nonlinear Sciences - Chaotic Dynamics, Condensed Matter Physics, Fluid models, 01 natural sciences, 010305 fluids & plasmas, Hamiltonian system, Nonlinear Sciences::Chaotic Dynamics, symbols.namesake, Poisson bracket, Continuity equation, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0103 physical sciences, symbols, Chaotic Dynamics (nlin.CD), 010306 general physics, Hamiltonian (quantum mechanics), Mathematics::Symplectic Geometry, Dirac bracket, Mathematical physics
Abstract: International audience; We present a Hamiltonian derivation of a class of reduced plasma two-dimensional fluid models, an example being the Charney-Hasegawa-Mima equation. These models are obtained from the same parent Hamiltonian model, which consists of the ion momentum equation coupled to the continuity equation, by imposing dynamical constraints. It is shown that the Poisson bracket associated with these reduced models is the Dirac bracket obtained from the Poisson bracket of the parent model.
Published: 2010

37. Homotopical rigidity of polygonal billiards

Author: Serge Troubetzkoy, Jozef Bobok, KM FSv CVUT, České Vysoké Učení Technické (CVUT), Aix Marseille Université (AMU), Institut de mathématiques de Luminy (IML), Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Grant Agency of the Czech Republic 201/09/0854. MYES (Czech Republic) MSM 6840770010, Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Fundamental group, Homotopy, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], homotopy, Dynamical Systems (math.DS), Polygonal billiard, 16. Peace & justice, Combinatorics, Conjugacy class, rigidity, Polygon, FOS: Mathematics, Order (group theory), Geometry and Topology, Mathematics - Dynamical Systems, Dynamical billiards, Orbit (control theory), Equivalence (measure theory), Mathematics
Abstract: International audience; Consider two $k$-gons $P$ and $Q$. We say that the billiard flows in $P$ and $Q$ are homotopically equivalent if the set of conjugacy classes in the fundamental group of $P$ which contain a periodic billiard orbit agrees with the analogous set for $Q$. We study this equivalence relationship and compare it to the equivalence relations, order equivalence and code equivalence, introduced in \cite{BT1,BT2}. In particular we show if $P$ is a rational polygon, and $Q$ is homotopically equivalent to $P$, then $P$ and $Q$ are similar, or affinely similar if all sides of $P$ are vertical and horizontal.
Published: 2014

38. Graviton propagator as a tool to test spinfoam models

Author: Alesci, Emanuele, Bernardo, Elizabeth, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
Abstract: I briefly review the advancements in the construction of the graviton propagator in the context of LQG and Spinfoam Models. In particular the problems of the Barrett-Crane vertex in giving the correct long-distance limit and the introduction of the new corrected models. This kind of calculation applied to an alternative vertex with given asymptotic can give the correct propagator and is then able to help selecting spinfoam models. In particular the study of the asymptotic properties of the new models shows the predicted behavior able to overcome the BC difficulties and to give the correct propagator, Comment: to appear in the Proceedings of the 3rd Stueckelberg Workshop on Relativistic Field Theories, July 2008, Pescara - Italy
Published: 2016

39. Emergence of Influential Spreaders in Modified Rumor Models

Author: Sandro Meloni, Bruno Gonçalves, Javier Borge-Holthoefer, Yamir Moreno, CPT - E5 Physique statistique et systèmes complexes, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Gonçalves, Bruno, and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Social and Information Networks (cs.SI), FOS: Computer and information sciences, Physics - Physics and Society, Theoretical computer science, Social network, Computer science, business.industry, [PHYS.PHYS.PHYS-SOC-PH]Physics [physics]/Physics [physics]/Physics and Society [physics.soc-ph], FOS: Physical sciences, Computer Science - Social and Information Networks, Statistical and Nonlinear Physics, Physics and Society (physics.soc-ph), Rumor, 01 natural sciences, 010305 fluids & plasmas, [PHYS.PHYS.PHYS-SOC-PH] Physics [physics]/Physics [physics]/Physics and Society [physics.soc-ph], Social system, Order (exchange), 0103 physical sciences, 010306 general physics, business, Mathematical Physics
Abstract: The burst in the use of online social networks over the last decade has provided evidence that current rumor spreading models miss some fundamental ingredients in order to reproduce how information is disseminated. In particular, recent literature has revealed that these models fail to reproduce the fact that some nodes in a network have an influential role when it comes to spread a piece of information. In this work, we introduce two mechanisms with the aim of filling the gap between theoretical and experimental results. The first model introduces the assumption that spreaders are not always active whereas the second model considers the possibility that an ignorant is not interested in spreading the rumor. In both cases, results from numerical simulations show a higher adhesion to real data than classical rumor spreading models. Our results shed some light on the mechanisms underlying the spreading of information and ideas in large social systems and pave the way for more realistic diffusion models., 14 Pages, 6 figures, accepted for publication in Journal of Statistical Physics
Published: 2012

40. Large-N c quantum chromodynamics and harmonic sums

Author: Eduardo de Rafael, CPT - E1 Physique des particules, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Quantum chromodynamics, Physics, Class (set theory), [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 010308 nuclear & particles physics, General Physics and Astronomy, Harmonic (mathematics), 01 natural sciences, Theoretical physics, Riemann zeros, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], 0103 physical sciences, Large-N c QCD, harmonic sums, Limit (mathematics), Analytic number theory, Quantum field theory, 010306 general physics, quantum field theory
Abstract: Based on my talk at "Raymond Stora's 80th Birthday Party", LAPP, July 11th 2011; International audience; In the Large-Nc limit of QCD, two--point functions of local operators become Harmonic Sums. I review some properties which follow from this fact and which are relevant for phenomenological applications. This has led us to consider a class of Analytic Number Theory Functions as toy models of Large-Nc QCD which I also discuss.
Published: 2012

41. Absence of ground state for the Nelson model on static space–times

Author: Fumio Hiroshima, Akito Suzuki, Christian Gérard, Annalisa Panati, Laboratoire de Mathématiques d'Orsay (LM-Orsay), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Department of Mathematics, Kyushu University [Fukuoka], Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Departement of Materials Science and Engineering, Iwate university, Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Kyushu University, and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Static space–times, Ground state, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Nelson model, 01 natural sciences, symbols.namesake, Mathematics - Analysis of PDEs, Feynman–Kac formula, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, Minkowski space, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Path space, 0101 mathematics, Quantum field theory, Mathematical Physics, Mathematical physics, Mathematics, Boson, 010102 general mathematics, Mathematical Physics (math-ph), symbols, 010307 mathematical physics, Hamiltonian (quantum mechanics), Analysis, Analysis of PDEs (math.AP)
Abstract: We consider the Nelson model on some static space–times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We investigate the absence of a ground state of the Hamiltonian in the presence of the infrared problem, i.e. assuming that the boson mass m ( x ) tends to 0 at spatial infinity. Using path space techniques, we show that if m ( x ) ⩽ C | x | − μ at infinity for some C > 0 and μ > 1 then the Nelson Hamiltonian has no ground state.
Published: 2012
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42. Bubble Divergences: Sorting out Topology from Cell Structure

Author: Valentin Bonzom, Matteo Smerlak, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: High Energy Physics - Theory, Nuclear and High Energy Physics, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Spin foam, General Relativity and Quantum Cosmology (gr-qc), Topology, 01 natural sciences, General Relativity and Quantum Cosmology, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, Tensor, Twist, 010306 general physics, Divergence (statistics), Mathematical Physics, Topology (chemistry), Physics, Degree (graph theory), [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 010308 nuclear & particles physics, Sorting, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Cohomology, High Energy Physics - Theory (hep-th), [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
Abstract: We conclude our analysis of bubble divergences in the flat spinfoam model. In [arXiv:1008.1476] we showed that the divergence degree of an arbitrary two-complex Gamma can be evaluated exactly by means of twisted cohomology. Here, we specialize this result to the case where Gamma is the two-skeleton of the cell decomposition of a pseudomanifold, and sharpen it with a careful analysis of the cellular and topological structures involved. Moreover, we explain in detail how this approach reproduces all the previous powercounting results for the Boulatov-Ooguri (colored) tensor models, and sheds light on algebraic-topological aspects of Gurau's 1/N expansion., 19 pages
Published: 2011

43. ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS

Author: Oleg Ogievetsky, L. Poulain d'Andecy, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Nuclear and High Energy Physics, Hecke algebra, Pure mathematics, Mathematics::Number Theory, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, General Physics and Astronomy, Young tableaux, Deformation (meteorology), 01 natural sciences, Representation theory, Set (abstract data type), [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], Mathematics::Quantum Algebra, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Young tableau, Representation Theory (math.RT), 0101 mathematics, Mathematics::Representation Theory, Hecke algebras, Mathematical Physics, Flatness (mathematics), Physics, flat deformations, Mathematics::Combinatorics, [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], 010308 nuclear & particles physics, Jucys-Murphy elements, Young diagrams, 010102 general mathematics, Astronomy and Astrophysics, Mathematical Physics (math-ph), Basis (universal algebra), 16. Peace & justice, complex reflection groups, 16S80, 20C08, 81R05, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], Mathematics - Representation Theory
Abstract: International audience; An approach, based on Jucys-Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys-Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without using the representation theory.
Published: 2011

44. Layering and Wetting Transitions for an SOS Interface

Author: François Dunlop, Kenneth S. Alexander, Salvador Miracle-Sole, USC Department of Mathematics, University of Southern California (USC), Laboratoire de Physique Théorique et Modélisation (LPTM - UMR 8089), Centre National de la Recherche Scientifique (CNRS)-CY Cergy Paris Université (CY), CPT - E5 Physique statistique et systèmes complexes, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Materials science, SOS model, Interface model, Interface (Java), [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Wetting, 01 natural sciences, Physics::Fluid Dynamics, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, FOS: Mathematics, External field, 0101 mathematics, 010306 general physics, Mathematical Physics, Condensed matter physics, 82B24 (Primary), 82B20 (Secondary), Probability (math.PR), 010102 general mathematics, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Interface, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Wetting transition, Layering transitions, Layering, Mathematics - Probability, Entropic repulsion
Abstract: We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. There is no bulk external field. The system presents a sequence of layering transitions, whose levels increase with the temperature, before reaching the wetting transition., Comment: 61 pages, 6 figures. Miscellaneous corrections and changes, primarily in Section 4. Figure 5 added.
Published: 2011

45. Recurrence for random dynamical systems

Author: Philippe Marie, Jérôme Rousseau, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques de Brest (LM), Université de Brest (UBO)-Institut Brestois du Numérique et des Mathématiques (IBNM), Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Subjects: Dynamical systems theory, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), 01 natural sciences, Linear dynamical system, 010104 statistics & probability, Poincaré recurrence, FOS: Mathematics, Random compact set, dimension theory, Discrete Mathematics and Combinatorics, 37H (Primary), 37C45, 37B20, 37A25 (Secondary), Statistical physics, Mathematics - Dynamical Systems, 0101 mathematics, Recurrence plot, Mathematics, Random field, Applied Mathematics, decay of correlations, 010102 general mathematics, Mathematical analysis, Random element, MSC2000: Primary: 37H, 37C45, 37B20, Secondary: 37A25, Random dynamical system, Recurrence quantification analysis, Analysis
Abstract: International audience; This paper is a first step in the study of the recurrence behavior in random dynamical systems and randomly perturbed dynamical systems. In particular we define a concept of quenched and annealed return times for systems generated by the composition of random maps. We moreover prove that for super-polynomially mixing systems, the random recurrence rate is equal to the local dimension of the stationary measure.
Published: 2011

46. Wilsonian renormalization, differential equations and Hopf algebras

Author: Krajewski, Thomas, Martinetti, Pierre, Bernardo, Elizabeth, Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Instituto Superior Técnico, Universidade Técnica de Lisboa (IST), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: High Energy Physics - Theory, 010101 applied mathematics, High Energy Physics - Theory (hep-th), [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 010102 general mathematics, FOS: Physical sciences, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], 0101 mathematics, 16. Peace & justice, 01 natural sciences
Abstract: In this paper, we present an algebraic formalism inspired by Butcher's B-series in numerical analysis and the Connes-Kreimer approach to perturbative renormalization. We first define power series of non linear operators and propose several applications, among which the perturbative solution of a fixed point equation using the non linear geometric series. Then, following Polchinski, we show how perturbative renormalization works for a non linear perturbation of a linear differential equation that governs the flow of effective actions. Then, we define a general Hopf algebra of Feynman diagrams adapted to iterations of background field effective action computations. As a simple combinatorial illustration, we show how these techniques can be used to recover the universality of the Tutte polynomial and its relation to the $q$-state Potts model. As a more sophisticated example, we use ordered diagrams with decorations and external structures to solve the Polchinski's exact renormalization group equation. Finally, we work out an analogous construction for the Schwinger-Dyson equations, which yields a bijection between planar $\phi^{3}$ diagrams and a certain class of decorated rooted trees., Comment: 42 pages, 26 figures in PDF format, extended version of a talk given at the conference "Combinatorics and physics" held at Max Planck Institut fuer Mathematik in Bonn in march 2007, some misprints corrected
Published: 2011

47. 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants

Author: Jacek Gilewicz, CPT - E8 Dynamique quantique et analyse spectrale, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Numerical Analysis, Pure mathematics, Applied Mathematics, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], 010102 general mathematics, Mathematical analysis, Riemann–Stieltjes integral, 010103 numerical & computational mathematics, 01 natural sciences, Computational Mathematics, Bounding overwatch, Convergence (routing), Padé approximant, Order (group theory), Point (geometry), 0101 mathematics, Mathematics
Abstract: The inequalities between the convergents of the Stieltjes continued fractions (CF) allowing to prove their convergence to the Stieltjes functions were first introduced in the famous work of Stieltjes (1894) [26]. Of course, the name of Stieltjes was attributed to these objects more later, such as the identification of the convergents of CF with Pade approximants (PA). The present review relates the evolution of PA errors inequalities for the Stieltjes functions up to now. Alphonse Magnus and the author (Gilewicz and Magnus (1979) [13]) remarked that the original Stieltjes inequalities are not optimal, not order equilibrated. From this time up to now we have established the optimal inequalities for the errors of PA for the Stieltjes functions in the cases of the classical one-point PA, of two-point (0 and ~) PA and of N-point (N>2) PA. The last case is presented for the first time in the present review.
Published: 2010

48. THE 10k zCOSMOS: MORPHOLOGICAL TRANSFORMATION OF GALAXIES IN THE GROUP ENVIRONMENT SINCEz∼1

Author: E. Ricciardelli, A. Cappi, Lucia Pozzetti, Micol Bolzonella, Daniela Vergani, Thierry Contini, C. M. Carollo, Alvio Renzini, Laurence Tresse, Y. Peng, A. Iovino, Luigi Guzzo, Angela Bongiorno, John D. Silverman, V. Mainieri, E. Zucca, J. F. Le Borgne, Alexis Finoguenov, Graziano Coppa, Claudia Scarlata, V. Le Brun, Paolo Cassata, P. Oesch, Anton M. Koekemoer, Mark Sargent, L. de Ravel, F. Lamareille, Lidia Tasca, S. Bardelli, P. Memeo, S. J. Lilly, P. Kampczyk, Bianca Garilli, N. Z. Scoville, C. Knobel, Jean-Paul Kneib, Ummi Abbas, O. Le Fèvre, D. Maccagni, R. Pello, Karina Caputi, D. Bottini, G. Zamorani, H. J. McCracken, M. Scodeggio, P. Franzetti, Olga Cucciati, Alessandro Cimatti, Masayuki Tanaka, B. Meneux, E. Perez Montero, S. de la Torre, M. Mignoli, Christian Maier, Christian Marinoni, M. Fumana, Cristiano Porciani, Alexie Leauthaud, Roberto Scaramella, K. Kovac, AUTRES, Università di Bologna, Dipartimento di Astronomia, Alma Mater Studiorum Università di Bologna [Bologna] (UNIBO), University of Chicago, Dipartimento di Fisica, Università degli Studi di Milano-Bicocca [Milano] (UNIMIB)-Università degli Studi di Milano [Milano] (UNIMI), INAF - Osservatorio Astronomico di Bologna (OABO), Istituto Nazionale di Astrofisica (INAF), Laboratoire d'Astrophysique de Marseille (LAM), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Aix Marseille Université (AMU)-Centre National d'Études Spatiales [Toulouse] (CNES), INAF- Milano, Institute of Astronomy [ETH Zürich], Department of Physics [ETH Zürich] (D-PHYS), Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich)- Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich), INAF - Osservatorio Astronomico di Brera (OAB), Max-Planck-Institut für Astronomie (MPIA), Max-Planck-Gesellschaft, Laboratoire Astrophysique de Toulouse-Tarbes (LATT), Centre National de la Recherche Scientifique (CNRS)-Observatoire Midi-Pyrénées (OMP), Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées, Laboratoire d'Astrophysique de l'Observatoire Midi-Pyrénées (LATT), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP), Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Centre National de la Recherche Scientifique (CNRS), Glycosciences Laboratory, Imperial College School of Medicine, Tokai University, INAF - Osservatorio Astrofisico di Arcetri (OAA), Istituto di Astrofisica Spaziale e Fisica cosmica - Bologna (IASF-Bo), Space Telescope Science Institute (STSci), Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institut d'Astrophysique de Paris (IAP), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC), California Institute of Technology (CALTECH), K. Kovac, S. J. Lilly, C. Knobel, M.Bolzonella, A. Iovino, C.M. Carollo, C. Scarlata, M. Sargent, O. Cucciati, G. Zamorani, L. Pozzetti, L.A.M. Tasca, M. Scodeggio, P. Kampczyk, Y. Peng, P. Oesch, E. Zucca, A. Finoguenov, T. Contini, J.-P. Kneib, O. Le Fevre, V. Mainieri, A. Renzini, S. Bardelli, A. Bongiorno, K. Caputi, G. Coppa, S. de la Torre, L. de Ravel, P. Franzetti, B. Garilli, F. Lamareille, J.-F. Le Borgne, V. Le Brun, C. Maier, M. Mignoli, R. Pello, E. Perez Montero, E. Ricciardelli, J.D. Silverman, M. Tanaka, L. Tresse, D. Vergani, U. Abba, D. Bottini, A. Cappi, P. Cassata, A. Cimatti, M. Fumana, L. Guzzo, A.M. Koekemoer, A. Leauthaud, D. Maccagni, C. Marinoni, H. J. McCracken, P. Memeo, B. Meneux, C. Porciani, R. Scaramella, N.Z. Scoville, Università degli Studi di Milano-Bicocca = University of Milano-Bicocca (UNIMIB)-Università degli Studi di Milano = University of Milan (UNIMI), Aix Marseille Université (AMU)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP), Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), and Astronomy
Subjects: Galaxies: Structure, Cosmology and Nongalactic Astrophysics (astro-ph.CO), 010504 meteorology & atmospheric sciences, Stellar mass, Population, FOS: Physical sciences, Astrophysics::Cosmology and Extragalactic Astrophysics, Astrophysics, 01 natural sciences, Luminosity, [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], Galaxies: Evolution, 0103 physical sciences, Astrophysics::Solar and Stellar Astrophysics, education, 010303 astronomy & astrophysics, Astrophysics::Galaxy Astrophysics, 0105 earth and related environmental sciences, Physics, education.field_of_study, COSMIC cancer database, Group (mathematics), Star formation, Galaxies: High-redshift, Astronomy and Astrophysics, Redshift survey, Galaxy, Space and Planetary Science, Mass function, Galaxies: Clusters: General, Galaxies: Luminosity function, Astrophysics::Earth and Planetary Astrophysics, Astrophysics - Cosmology and Nongalactic Astrophysics
Abstract: We study the evolution of galaxies inside and outside of the group environment since z=1 using a large well defined set of groups and galaxies from the zCOSMOS-bright redshift survey in the COSMOS field. The fraction of galaxies with early-type morphologies increases monotonically with M_B luminosity and stellar mass and with cosmic epoch. It is higher in the groups than elsewhere, especially at later epochs. The emerging environmental effect is superposed on a strong global mass-driven evolution, and at z~0.5 and log(M*/Msol)~10.2, the "effect" of group environment is equivalent to (only) about 0.2 dex in stellar mass or 2 Gyr in time. The stellar mass function of galaxies in groups is enriched in massive galaxies. We directly determine the transformation rates from late to early morphologies, and for transformations involving colour and star formation indicators. The transformation rates are systematically about twice as high in the groups as outside, or up to 3-4 times higher correcting for infall and the appearance of new groups. The rates reach values, for masses around the crossing mass 10^10.5 Msol, as high as (0.3-0.7)/Gyr in the groups, implying transformation timescales of 1.4-3 Gyr, compared with less than 0.2/Gyr, i.e. timescales >5 Gyr, outside of groups. All three transformation rates decrease at higher stellar masses, and must decrease also at the lower masses below 10^10 Msol which we cannot well probe. The rates involving colour and star formation are consistently higher than those for morphology, by a factor of about 50%. Our conclusion is that the transformations which drive the evolution of the overall galaxy population since z~1 must occur at a rate 2-4 times higher in groups than outside of them., 21 pages, 13 figures, submitted to ApJ
Published: 2010

49. ON THE STATISTICAL DISTRIBUTION OF FIRST-RETURN TIMES OF BALLS AND CYLINDERS IN CHAOTIC SYSTEMS

Author: Sandro Vaienti, Giorgio Mantica, Centre de Physique Théorique - UMR 6207 (CPT), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Center for Nonlinear and Complex Systems, University of Insubria, Como, Universitá degli Studi dell’Insubria, Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and Universitá degli Studi dell’Insubria = University of Insubria [Varese] (Uninsubria)
Subjects: Dynamical systems theory, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], FOS: Physical sciences, Dynamical Systems (math.DS), Lyapunov exponent, 01 natural sciences, 010305 fluids & plasmas, Bernoulli's principle, symbols.namesake, 0103 physical sciences, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Engineering (miscellaneous), Mathematics, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Torus, Nonlinear Sciences - Chaotic Dynamics, 16. Peace & justice, Manifold, Moment (mathematics), Modeling and Simulation, Phase space, symbols, Chaotic Dynamics (nlin.CD), Distribution (differential geometry)
Abstract: We study returns in dynamical systems: when a set of points, initially populating a prescribed region, swarms around phase space according to a deterministic rule of motion, we say that the return of the set occurs at the earliest moment when one of these points comes back to the original region. We describe the statistical distribution of these "first--return times" in various settings: when phase space is composed of sequences of symbols from a finite alphabet (with application for instance to biological problems) and when phase space is a one and a two-dimensional manifold. Specifically, we consider Bernoulli shifts, expanding maps of the interval and linear automorphisms of the two dimensional torus. We derive relations linking these statistics with Renyi entropies and Lyapunov exponents., Comment: submitted to Int. J. Bifurcations and Chaos
Published: 2010

50. The zCOSMOS survey

Author: Zucca E., Bardelli S., Bolzonella M., Zamorani G., Ilbert O., Pozzetti L., Mignoli M., Kova, #269, Lilly S., Tresse L., Tasca L., Cassata P., Halliday C., Vergani D., Caputi K., Carollo C. M., Contini T., Kneib J. P., Le Fèvre O., Mainieri V., Renzini A., Scodeggio M., Bongiorno A., Coppa G., de La Torre S., de Ravel L., Franzetti P., Garilli B., Iovino A., Kampczyk P., Knobel C., Lamareille F., Le Borgne J. F., Le Brun V., Maier C., Pellò R., Peng Y., Perez Montero E., Ricciardelli E., Silverman J. D., Tanaka M., Abbas U., Bottini D., Cappi A., Guzzo L., Koekemoer A. M., Leauthaud A., Maccagni D., Marinoni C., McCracken H. J., Meme, P., Meneux B., Oesch P., Porciani C., Scaramella R., Arnouts S., Aussel H., Capak P., Kartaltepe J., Salvato M., Sanders D., Scoville N., Taniguchi Y., Thompson D., CUCCIATI, OLGA, CIMATTI, ANDREA, MORESCO, MICHELE ENNIO MARIA, INAF - Osservatorio Astronomico di Brera (OAB), Istituto Nazionale di Astrofisica (INAF), INAF - Osservatorio Astronomico di Bologna (OABO), Alma Mater Studiorum Università di Bologna [Bologna] (UNIBO), AUTRES, Laboratoire d'Astrophysique de Marseille (LAM), Aix Marseille Université (AMU)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS), INAF - Osservatorio Astrofisico di Arcetri (OAA), University of Chicago, Laboratoire Astrophysique de Toulouse-Tarbes (LATT), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP), Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS), INAF- Milano, Dipartimento di Fisica, Università degli Studi di Milano-Bicocca = University of Milano-Bicocca (UNIMIB)-Università degli Studi di Milano = University of Milan (UNIMI), Institute of Astronomy [ETH Zürich], Department of Physics [ETH Zürich] (D-PHYS), Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich)- Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich), Tokai University, Istituto di Astrofisica Spaziale e Fisica cosmica - Bologna (IASF-Bo), Space Telescope Science Institute (STSci), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Institut d'Astrophysique de Paris (IAP), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), Max-Planck-Institut für Astronomie (MPIA), Max-Planck-Gesellschaft, Materials & Process technology, Boeing Company [Chicago], California Institute of Technology (CALTECH), Sea Mammal Research Unit, St Andrews, Astronomy, Zucca E., Bardelli S., Bolzonella M., Zamorani G., Ilbert O., Pozzetti L., Mignoli M., Kova&#269, K., Lilly S., Tresse L., Tasca L., Cassata P., Halliday C., Vergani D., Caputi K., Carollo C. M., Contini T., Kneib J.-P., Le Fèvre O., Mainieri V., Renzini A., Scodeggio M., Bongiorno A., Coppa G., Cucciati O., de La Torre S., de Ravel L., Franzetti P., Garilli B., Iovino A., Kampczyk P., Knobel C., Lamareille F., Le Borgne J.-F., Le Brun V., Maier C., Pellò R., Peng Y., Perez-Montero E., Ricciardelli E., Silverman J. D., Tanaka M., Abbas U., Bottini D., Cappi A., Cimatti A., Guzzo L., Koekemoer A. M., Leauthaud A., Maccagni D., Marinoni C., McCracken H. J., Meme, P., Meneux B., Moresco M., Oesch P., Porciani C., Scaramella R., Arnouts S., Aussel H., Capak P., Kartaltepe J., Salvato M., Sanders D., Scoville N., Taniguchi Y., Thompson D., Università di Bologna, Dipartimento di Astronomia, Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Aix Marseille Université (AMU)-Centre National d'Études Spatiales [Toulouse] (CNES), Centre National de la Recherche Scientifique (CNRS)-Observatoire Midi-Pyrénées (OMP), Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées, Università degli Studi di Milano-Bicocca [Milano] (UNIMIB)-Università degli Studi di Milano [Milano] (UNIMI), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, and Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)
Subjects: Normalization (statistics), Cosmology and Nongalactic Astrophysics (astro-ph.CO), High density, FOS: Physical sciences, Astrophysics, Astrophysics::Cosmology and Extragalactic Astrophysics, Surveys, 01 natural sciences, Luminosity, [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], MORPHOLOGICAL CLASSIFICATION, 1ST EPOCH DATA, 0103 physical sciences, Astrophysics::Solar and Stellar Astrophysics, Density field, FIELD, 10. No inequality, 010303 astronomy & astrophysics, PHOTOMETRIC REDSHIFTS, Astrophysics::Galaxy Astrophysics, galaxies: statistics, Luminosity function (astronomy), Physics, REDSHIFT SURVEY, LEGACY SURVEY, 010308 nuclear & particles physics, Galaxies: evolution, Galaxies: luminosity function, mass function, Galaxies: statistics, Astronomy and Astrophysics, Space and Planetary Science, VLT DEEP SURVEY, B band, Galaxy, galaxies: luminosity function, mass function, COLOR-DENSITY RELATION, galaxies: luminosity function, mass function, DIGITAL SKY SURVEY, galaxies: evolution, Cosmic time, SURVEY COSMOS, Astrophysics - Cosmology and Nongalactic Astrophysics
Abstract: (Abridged) We studied the evolution in the B band luminosity function to z~1 in the zCOSMOS 10k sample, for which both accurate galaxy classifications and a detailed description of the local density field are available. The global LF exhibits a brightening of ~0.7 mag in M* from z~0.2 to z~0.9. At low z, late types dominate at faint magnitudes, while the bright end is populated mainly by early types. At higher z, late-type galaxies evolve significantly and, at z~1, the contribution from the various types to the bright end of the LF is comparable. The evolution for early types is in both luminosity and normalization. A similar behaviour is exhibited by late types, but with an opposite trend for the normalization. Studying the role of the environment, we find that the global LF of galaxies in overdense regions has always a brighter M* and a flatter slope. In low density environments, the main contribution to the LF is from blue galaxies, while for high density environments there is an important contribution from red galaxies to the bright end. The differences between the global LF in the two environments are not due to only a difference in the relative numbers of red and blue galaxies, but also to their relative luminosity distributions: the value of M* for both types in underdense regions is always fainter than in overdense environments. The "specular" evolution of late- and early-type galaxies is consistent with a scenario where a part of blue galaxies is transformed in red galaxies with increasing cosmic time, without significant changes in the fraction of intermediate-type galaxies. The bulk of this tranformation in overdense regions probably happened before z~1, while it is still ongoing at lower z in underdense environments., Comment: 18 pages, 10 figures, A&A in press
Published: 2009

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