LEVERNIER, N.; BÉNICHOU, O.; VOITURIEZ, R.; GUÉRIN, Thomas

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LEVERNIER, N.
Swiss National Centre for Competence in Research Programme Chemical Biology [NCCR-Chemical Biology]

BÉNICHOU, O.
Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]

VOITURIEZ, R.
Laboratoire Jean Perrin [LJP]

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Ce document a été publié dans

Physical Review Research. 2020

American Physical Society

Date de soutenance

2020

Résumé en anglais

How much time does it take for a fluctuating system, such as a polymer chain, to reach a target configuration that is rarely visited -- typically because of a high energy cost ? This question generally amounts to the determination of the first-passage time statistics to a target zone in phase space with lower occupation probability. Here, we present an analytical method to determine the mean first-passage time of a generic non-Markovian random walker to a rarely visited threshold, which goes beyond existing weak-noise theories. We apply our method to polymer systems, to determine (i) the first time for a flexible polymer to reach a large extension, and (ii) the first closure time of a stiff inextensible wormlike chain. Our results are in excellent agreement with numerical simulations and provide explicit asymptotic laws for the mean first-passage times to rarely visited configurations.< Réduire

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Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798