Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion

M. D. Jara (1) , C. Landim (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

We prove a nonequilibirum central limit theorem for the position of a tagged particle in the one-dimensional nearest-neighbor symmetric simple exclusion process under diffusive scaling starting from a Bernoulli product measure associated to a smooth profile $\rho_0:\bb R\to [0,1]$.

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]; Mécanique statistique [cond-mat.stat-mech]

M. D. Jara, C. Landim. Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2006, 42 (5), pp.567-577. ⟨10.1016/j.anihpb.2005.04.007⟩. ⟨hal-00359759⟩