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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorHuveneers, François
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorSimenhaus, François
dc.date.accessioned2021-10-27T09:28:44Z
dc.date.available2021-10-27T09:28:44Z
dc.date.issued2020
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22109
dc.language.isoenen
dc.subjectparticuleen
dc.subject.ddc520en
dc.titleEvolution of a passive particle in a one-dimensional diffusive environmenten
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equation. We obtain two main results. First, in the short time limit, we show that the fluctuations of the particle become Gaussian and sub-diffusive, with dynamical exponent 3/4. Second, in the long time limit, we show that the particle is trapped by the local minima of the potential and evolves diffusively i.e. with exponent 1/2.en
dc.identifier.citationpages27en
dc.relation.ispartofseriestitleCahier de recherche du CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-03071641en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2020
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-10-27T09:26:07Z
hal.author.functionaut
hal.author.functionaut


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