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dc.contributor.authorHuveneers, François
dc.date.accessioned2019-04-18T12:33:35Z
dc.date.available2019-04-18T12:33:35Z
dc.date.issued2018
dc.identifier.issn1539-3755
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18702
dc.language.isoenen
dc.subjectforceen
dc.subjectfluctuationsen
dc.subjectone-dimensional diffusive environmenten
dc.subject.ddc519en
dc.titleResponse to a small external force and fluctuations of a passive particle in a one-dimensional diffusive environmenten
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe investigate the long-time behavior of a passive particle evolving in a one-dimensional diffusive random environment, with diffusion constant D. We consider two cases: (a) The particle is pulled forward by a small external constant force and (b) there is no systematic bias. Theoretical arguments and numerical simulations provide evidence that the particle is eventually trapped by the environment. This is diagnosed in two ways: The asymptotic speed of the particle scales quadratically with the external force as it goes to zero, and the fluctuations scale diffusively in the unbiased environment, up to possible logarithmic corrections in both cases. Moreover, in the large D limit (homogenized regime), we find an important transient region giving rise to other, finite-size scalings, and we describe the crossover to the true asymptotic behavior.en
dc.relation.isversionofjnlnamePhysical Review. E, Statistical, Nonlinear, and Soft Matter Physics
dc.relation.isversionofjnlvol97en
dc.relation.isversionofjnlissue4-1en
dc.relation.isversionofjnldate2018-04
dc.relation.isversionofdoi10.1103/PhysRevE.97.042116en
dc.relation.isversionofjnlpublisherAmerican Physical Societyen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-03-27T10:43:16Z
hal.person.labIds60


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