Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps

Milton D. Jara (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove an invariance principle for a tagged particle in a simple exclusion process out of equilibrium. The scaling limit is a time-inhomogeneous process of independent increments, related to the solution of a fractional heat equation.

Mots clés: tagged particle; simple exclusion; Levy process; hydrodynamic limit; fractional Laplacian

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

Milton D. Jara. Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps. Communications on Pure and Applied Mathematics, 2009, 2, pp.198--214. ⟨10.1002/cpa.20253⟩. ⟨hal-00453664⟩