1. Cyclization kinetics of Gaussian semiflexible polymer chains
- Author
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A. Blumen, Maxim Dolgushev, Olivier Bénichou, Raphaël Voituriez, Thomas Guérin, Laboratoire Ondes et Matière d'Aquitaine (LOMA), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), Theoretical Polymer Physics, University of Freiburg [Freiburg], Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), DFG : grant n° B1 142/11-1 et IRTG 'Soft Matter Science' (GRK 1642/1), Campus France (projet n° 28252XE), DAAD programme PROCOPE (projet n° 55853833), European Project: 277998,EC:FP7:ERC,ERC-2011-StG_20101014,FPTOPT(2011), and Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)
- Subjects
Physics ,Quantitative Biology::Biomolecules ,reactions ,010304 chemical physics ,Polymers ,Gaussian ,Kinetics ,PACS numbers: 82.35.-x, 05.40.-a ,Radius ,Eigenfunction ,Nonlinear dynamics and chaos ,01 natural sciences ,Combinatorics ,Mean squared displacement ,symbols.namesake ,Distribution (mathematics) ,properties ,polymerization ,0103 physical sciences ,symbols ,Statistical physics ,[PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph] ,010306 general physics ,Finite set ,Eigenvalues and eigenvectors - Abstract
International audience; We consider the dynamics and the cyclization kinetics of Gaussian semiflexible chains, in which the interaction potential tends to align successive bonds. We provide asymptotic expressions for the cyclization time, for the eigenvalues and eigenfunctions, and for the mean square displacement at all time and length scales, with explicit dependence on the capture radius, on the positions of the reactive monomers in the chain, and on the finite number of beads. For the cyclization kinetics, we take into account non-Markovian effects by calculating the distribution of reactive conformations of the polymer, which are not taken into account in the classical Wilemski-Fixman theory. Comparison with numerical simulations confirms the accuracy of this non-Markovian theory. DOI: 10.1103/PhysRevE.90.052601 PACS number(s): 82.35.−x, 05.40.−a
- Published
- 2014
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