Show simple item record

dc.contributor.authorLandim, Claudio
dc.contributor.authorEnaud, C.
dc.contributor.authorDerrida, B.
dc.contributor.authorOlla, Stefano
dc.date.accessioned2009-07-07T15:34:34Z
dc.date.available2009-07-07T15:34:34Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/908
dc.language.isoenen
dc.subjectfluctuationsen
dc.subjectasymmetric simple exclusion process
dc.subjectcorrelation
dc.subjectopen system
dc.subjectstationary non-equilibrium state
dc.subject.ddc519en
dc.titleFluctuations in the weakly asymmetric exclusion process with open boundary conditionsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCNRS - Université de Rouen;France
dc.contributor.editoruniversityotherCNRS - Université Pierre et Marie Curie - Paris VI - Université Denis Diderot - Paris VII - Ecole Normale Supérieure de Paris - ENS Paris;France
dc.description.abstractenWe investigate the fluctuations around the average density profile in the weakly asymmetric exclusion process with open boundaries in the steady state. We show that these fluctuations are given, in the macroscopic limit, by a centered Gaussian field and we compute explicitly its covariance function. We use two approaches. The first method is dynamical and based on fluctuations around the hydrodynamic limit. We prove that the density fluctuations evolve macroscopically according to an autonomous stochastic equation, and we search for the stationary distribution of this evolution. The second approach, which is based on a representation of the steady state as a sum over paths, allows one to write the density fluctuations in the steady state as a sum over two independent processes, one of which is the derivative of a Brownian motion, the other one being related to a random path in a potential.en
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol118en
dc.relation.isversionofjnlissue5/6
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages795-811en
dc.relation.isversionofdoihttp:/:dx.doi.org/10.1007/s10955-004-1989-x
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00013778/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record