Afficher la notice abrégée

Mean first-passage times of non-Markovian random walkers in confinement.

hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorGUÉRIN, T
hal.structure.identifierLaboratoire de Physique Théorique de la Matière Condensée [LPTMC]
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]
hal.structure.identifierLaboratoire de Physique Théorique de la Matière Condensée [LPTMC]
dc.contributor.authorVOITURIEZ, R
dc.date.created2015-11-19
dc.date.issued2016-06-16
dc.identifier.issn0028-0836
dc.description.abstractEnThe first-passage time, defined as the time a random walker takes to reach a target point in a confining domain, is a key quantity in the theory of stochastic processes. Its importance comes from its crucial role in quantifying the efficiency of processes as varied as diffusion-limited reactions, target search processes or the spread of diseases. Most methods of determining the properties of first-passage time in confined domains have been limited to Markovian (memoryless) processes. However, as soon as the random walker interacts with its environment, memory effects cannot be neglected: that is, the future motion of the random walker does not depend only on its current position, but also on its past trajectory. Examples of non-Markovian dynamics include single-file diffusion in narrow channels, or the motion of a tracer particle either attached to a polymeric chain or diffusing in simple or complex fluids such as nematics, dense soft colloids or viscoelastic solutions. Here we introduce an analytical approach to calculate, in the limit of a large confining volume, the mean first-passage time of a Gaussian non-Markovian random walker to a target. The non-Markovian features of the dynamics are encompassed by determining the statistical properties of the fictitious trajectory that the random walker would follow after the first-passage event takes place, which are shown to govern the first-passage time kinetics. This analysis is applicable to a broad range of stochastic processes, which may be correlated at long times. Our theoretical predictions are confirmed by numerical simulations for several examples of non-Markovian processes, including the case of fractional Brownian motion in one and higher dimensions. These results reveal, on the basis of Gaussian processes, the importance of memory effects in first-passage statistics of non-Markovian random walkers in confinement.
dc.language.isoen
dc.publisherNature Publishing Group
dc.rights.urihttp://creativecommons.org/licenses/by-sa/
dc.title.enMean first-passage times of non-Markovian random walkers in confinement.
dc.typeArticle de revue
dc.identifier.doi10.1038/nature18272
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
dc.description.sponsorshipEuropeFirst-passage times and optimization of target search strategies
bordeaux.journalNature
bordeaux.page356-9
bordeaux.volume534
bordeaux.issue7607
bordeaux.peerReviewedoui
hal.identifierhal-01344629
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01344629v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nature&rft.date=2016-06-16&rft.volume=534&rft.issue=7607&rft.spage=356-9&rft.epage=356-9&rft.eissn=0028-0836&rft.issn=0028-0836&rft.au=GU%C3%89RIN,%20T&LEVERNIER,%20N&B%C3%89NICHOU,%20O&VOITURIEZ,%20R&rft.genre=article


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée