Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Année : 2008

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

Résumé

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 $\rho_0:\bb R\to [0,1]$.

Dates et versions

hal-00362311 , version 1 (17-02-2009)

Identifiants

Citer

M. D. Jara, C. Landim. Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2008, 44 (2), pp.341-361. ⟨10.1214/07-AIHP112⟩. ⟨hal-00362311⟩
273 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More