EQUILIBRIUM FLUCTUATIONS FOR ZERO-RANGE PROCESSES IN RANDOM ENVIRONMENT

Authors
GIELIS G KOUKKOUS A LANDIM C
Citation
G. Gielis et al., EQUILIBRIUM FLUCTUATIONS FOR ZERO-RANGE PROCESSES IN RANDOM ENVIRONMENT, Stochastic processes and their applications, 77(2), 1998, pp. 187-205
Citations number
20
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
77
Issue
2
Year of publication
1998
Pages
187 - 205
Database
ISI
SICI code
0304-4149(1998)77:2<187:EFFZPI>2.0.ZU;2-#
Abstract
We prove a central limit theorem for the density field for stationary zero range processes in a random environment. We prove that the densit y field converges weakly to a generalized Ornstein-Uhlenbeck process w hose evolution is described by the linearization of the hydrodynamic e quation around a fixed density with a white noise added. (C) 1998 Else vier Science B.V. All rights reserved.