Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder

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dc.creatorJara, M. D.
dc.creatorLandim, C.
dc.date2006-03-28
dc.date.accessioned2026-07-07T07:07:17Z
dc.date.available2026-07-07T07:07:17Z
dc.descriptionFor a sequence of i.i.d. random variables $\{ξ_x : x\in \bb Z\}$ 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 $ξ_x$. We examine a quenched nonequilibrium central limit theorem for the position of a tagged particle in the exclusion process with bond disorder $\{ξ_x : x\in \bb Z\}$. 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 $ρ_0:\bb R\to [0,1]$.
dc.identifierhttps://arxiv.org/abs/math/0603653
dc.identifierhttp://arxiv.org/abs/math/0603653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110336
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35
dc.titleQuenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder
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