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dc.contributor.authorFaggionato, Alessandra*
dc.contributor.authorGantert, Nina*
dc.contributor.authorSalvi, Michele*
dc.date.accessioned2017-10-30T13:42:02Z
dc.date.available2017-10-30T13:42:02Z
dc.date.issued2018
dc.identifier.issn0246-0203
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16866
dc.language.isoenen
dc.subjectrandom walk in random environment
dc.subjectdisordered media
dc.subjectballisticity
dc.subjectenviron-ment viewed from the walker
dc.subjectelectron transport in disordered solids
dc.subject.ddc520en
dc.titleThe velocity of 1D MOTT variable-range hopping with external field
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenMott variable-range hopping is a fundamental mechanism for low–temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approximation, it reduces to a random walk (shortly, Mott random walk) on a random marked point process with possible long-range jumps. We consider here the one-dimensional Mott random walk and we add an external field (or a bias to the right). We show that the bias makes the walk transient, and investigate its linear speed. Our main results are conditions for ballisticity (positive linear speed) and for sub-ballisticity (zero linear speed), and the existence in the ballistic regime of an invariant distribution for the environment viewed from the walker, which is mutually absolutely continuous with respect to the original law of the environment. If the point process is a renewal process, the aforementioned conditions result in a sharp criterion for ballisticity. Interestingly, the speed is not always continuous as a function of the bias. Keywords: random walk in random environment, disordered media, ballisticity, environment viewed from the walker, electron transport in disordered solids.
dc.relation.isversionofjnlnameAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
dc.relation.isversionofjnlvol54
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpages1165-1203
dc.relation.isversionofdoi10.1214/17-AIHP836
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01523557
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2018-07-23T08:52:38Z
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