Equilibrium fluctuations for zero range processes in random environment

G. Gielis, A. Koukkous and C. Landim

Stochastic Processes and their Applications, 1998, vol. 77, issue 2, 187-205

Abstract: We prove a central limit theorem for the density field for stationary zero range processes in a random environment. We prove that the density field converges weakly to a generalized Ornstein-Uhlenbeck process whose evolution is described by the linearization of the hydrodynamic equation around a fixed density with a white noise added.

Keywords: Interacting; particle; system; Hydrodynamic; behavior; Central; limit; theorem; Boltzmann-Gibbs; principle (search for similar items in EconPapers)
Date: 1998
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