Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics
| hal.structure.identifier | Swiss National Centre for Competence in Research Programme Chemical Biology [NCCR-Chemical Biology] | |
| dc.contributor.author | LEVERNIER, N. | |
| hal.structure.identifier | Laboratoire de Physique Théorique de la Matière Condensée [LPTMC] | |
| dc.contributor.author | BÉNICHOU, O. | |
| hal.structure.identifier | Laboratoire Jean Perrin [LJP] | |
| dc.contributor.author | VOITURIEZ, R. | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | GUÉRIN, Thomas | |
| dc.date | 2020 | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 2643-1564 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | American Physical Society | |
| dc.title.en | Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Chimie-Physique [physics.chem-ph] | |
| bordeaux.journal | Physical Review Research | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02466797 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02466797v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20Research&rft.date=2020&rft.eissn=2643-1564&rft.issn=2643-1564&rft.au=LEVERNIER,%20N.&B%C3%89NICHOU,%20O.&VOITURIEZ,%20R.&GU%C3%89RIN,%20Thomas&rft.genre=article |
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