dc.contributor.author Landim, Claudio dc.contributor.author Jara, Milton dc.date.accessioned 2009-06-30T08:44:23Z dc.date.available 2009-06-30T08:44:23Z dc.date.issued 2008 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/538 dc.language.iso en en dc.subject Mathematics/mathematical physics en dc.subject Physics/Mathematicals physics en dc.subject Mathematics/Probability en dc.subject.ddc 519 en dc.title Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder en dc.type Article accepté pour publication ou publié dc.contributor.editoruniversityother Université de Rouen; dc.description.abstracten For a sequence of i.i.d. random variables $\{\xi_x : x\in \bb Z\}$ bounded above and below by strictly positive finite constants, consider the nearest-neighbor one-dimensional simple exclusion process in which a particle at $x$ (resp. $x+1$) jumps to $x+1$ (resp. $x$) at rate $\xi_x$. We examine a quenched nonequilibrium central limit theorem for the position of a tagged particle in the exclusion process with bond disorder $\{\xi_x : x\in \bb Z\}$. We prove that the position of the tagged particle converges under diffusive scaling to a Gaussian process if the other particles are initially distributed according to a Bernoulli product measure associated to a smooth profile $\rho_0:\bb R\to [0,1]$. en dc.relation.isversionofjnlname Annales de l'I.H.P. Probabilités et Statistiques dc.relation.isversionofjnlvol 44 dc.relation.isversionofjnlissue 2 en dc.relation.isversionofjnldate 2008 dc.relation.isversionofjnlpages 341-361 en dc.relation.isversionofdoi http://dx.doi.org/10.1214/07-AIHP112 dc.description.sponsorshipprivate oui en dc.subject.ddclabel Probabilités et mathématiques appliquées en
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