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Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics

hal.structure.identifierSwiss National Centre for Competence in Research Programme Chemical Biology [NCCR-Chemical Biology]
dc.contributor.authorLEVERNIER, N.
hal.structure.identifierLaboratoire de Physique Théorique de la Matière Condensée [LPTMC]
dc.contributor.authorBÉNICHOU, O.
hal.structure.identifierLaboratoire Jean Perrin [LJP]
dc.contributor.authorVOITURIEZ, R.
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorGUÉRIN, Thomas
dc.date2020
dc.date.issued2020
dc.identifier.issn2643-1564
dc.description.abstractEnHow 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.isoen
dc.publisherAmerican Physical Society
dc.title.enKinetics of rare events for non-Markovian stationary processes and application to polymer dynamics
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft]
dc.subject.halPhysique [physics]/Physique [physics]/Chimie-Physique [physics.chem-ph]
bordeaux.journalPhysical Review Research
bordeaux.peerReviewedoui
hal.identifierhal-02466797
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02466797v1
bordeaux.COinSctx_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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