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3 results on '"Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)"'

1. Fluctuation theorem for quasi-integrable systems

Author

Tomer Goldfriend, Jorge Kurchan, Laboratoire de Physique Statistique de l'ENS (LPS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), 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)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Physics, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Integrable system, Fluctuation theorem, FOS: Physical sciences, General Physics and Astronomy, 01 natural sciences, 010305 fluids & plasmas, Isolated system, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Chain (algebraic topology), 0103 physical sciences, Line (geometry), [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Quantum Physics (quant-ph), 010306 general physics, Entropy (arrow of time), Quantum, Condensed Matter - Statistical Mechanics, ComputingMilieux_MISCELLANEOUS, PACS 05.70.Ln – Nonequilibrium and irreversible thermodynamicsPACS 05.20.-y – Classical statistical mechanicsPACS 05.45.-a – Nonlinear dynamics and chaos, Mathematical physics
Abstract

A Fluctuation Theorem (FT), both Classical and Quantum, describes the large-deviations in the approach to equilibrium of an isolated quasi-integrable system. Two characteristics make it unusual: (i) it concerns the internal dynamics of an isolated system without external drive, and (ii) unlike the usual FT, the system size, or the time, need not be small for the relation to be relevant, provided the system is close to integrability. As an example, in the Fermi-Pasta-Ulam chain, the relation gives information on the ratio of probability of death to resurrection of solitons. For a coarse-grained system the FT describes how the system `skis' down the (minus) entropy landscape: always descending but generically not along a gradient line., Comment: 11 pages (6 main text + 5 supplemental material); 4 figures

Published
2018

2. Exact solution and precise asymptotics of a Fisher–KPP type front

Author

Éric Brunet, Julien Berestycki, Bernard Derrida, Laboratoire de Probabilités, Statistiques et Modélisations (LPSM (UMR_8001)), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Statistique de l'ENS (LPS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), 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)-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)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Chaire Physique statistique, and Collège de France (CdF (institution))

Subjects
Statistics and Probability, Statistical Mechanics (cond-mat.stat-mech), Laplace transform, 010102 general mathematics, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, Type (model theory), 01 natural sciences, Term (time), 010101 applied mathematics, Nonlinear system, Exact solutions in general relativity, Position (vector), Modeling and Simulation, Free boundary problem, Initial value problem, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], 0101 mathematics, Condensed Matter - Statistical Mechanics, Mathematical Physics, Mathematics
Abstract

The present work concerns a version of the Fisher-KPP equation where the nonlinear term is replaced by a saturation mechanism, yielding a free boundary problem with mixed conditions. Following an idea proposed in [BrunetDerrida.2015], we show that the Laplace transform of the initial condition is directly related to some functional of the front position $\mu_t$. We then obtain precise asymptotics of the front position by means of singularity analysis. In particular, we recover the so-called Ebert and van Saarloos correction [EbertvanSaarloos.2000], we obtain an additional term of order $\log t /t$ in this expansion, and we give precise conditions on the initial condition for those terms to be present., Comment: v2: correction of some typos, a couple more references and some clarifications

Published
2017

3. The self-organization of capillary wave sources

Author

Suzie Protière, Yves Couder, Arezki Boudaoud, Emmanuel Fort, Institut Jean le Rond d'Alembert (DALEMBERT), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Matière et Systèmes Complexes (MSC), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Matériaux et Phénomènes Quantiques (MPQ (UMR_7162)), Laboratoire de Physique Statistique de l'ENS (LPS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS]Physics [physics], Capillary wave, Chemistry, Drop (liquid), Mechanics, Condensed Matter Physics, Horizontal plane, Instability, law.invention, Physics::Fluid Dynamics, Wavelength, Amplitude, Classical mechanics, law, General Materials Science, Hexagonal lattice, Faraday cage, [PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]
Abstract

International audience; A liquid drop can be kept bouncing at the surface of a bath of the same liquid for any length of time if the bath is kept oscillating vertically. Several regimes can be observed. For a liquid of moderate viscosity, the bouncing of the drop generates damped capillary waves with a wavelength corresponding to the forcing frequency. Therefore when several identical drops are placed on the oscillating surface, the interaction of their waves leads to the self-organization of the drops with a 2D triangular lattice. Another remarkable regime is observed when the forcing amplitude is increased close to the Faraday instability threshold: the drop starts moving in the horizontal plane at a constant velocity. We have studied the movement of one 'walking drop' as well as the possible interactions of several of these particular drops placed on the surface of the liquid, leading to their complex self-organization. These drops can collide via their waves and in certain situations attract each other and start orbiting.

Published
2005

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