Non-equilibrium fluctuations for a zero range process
type: Item
instance of: scholarly article
title: Non-equilibrium fluctuations for a zero range process
zbMATH Open document ID: 0653.60099
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77325
review text: We study the non-equilibrium density fluctuation field of a one- dimensional symmetric nearest neighbors zero range process, proving that it converges in law to a generalized Ornstein-Uhlenbeck process. Since the hydrodynamical equation is nonlinear, to accomplish our main theorem we need to prove, for our model, a non-equilibrium version of the Gibbs- Boltzmann principle (first introduced by Brox and Rost to study the equilibrium fluctuations for a large class of zero range models). Our result is then obtained by applying Holley and Stroock's theory.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4066106
zbMATH Keywords: non-equilibrium density fluctuation field
zbMATH Keywords: symmetric nearest neighbors zero range process
zbMATH Keywords: Ornstein-Uhlenbeck process
zbMATH Keywords: Gibbs-Boltzmann principle
author: Pablo A. Ferrari
author: Errico Presutti
author: Maria Eulalia Vares
MaRDI profile type: Publication
Recommended article: Nonequilibrium statistical mechanics of the zero-range process and related models
Recommended article: Equilibrium fluctuations for zero-range-exclusion processes
Recommended article: Nonequilibrium phase transition in a non-integrable zero-range process
Recommended article: Equilibrium fluctuations for the totally asymmetric zero-range process
Recommended article: Nonequilibrium fluctuation theorems from equilibrium fluctuations
Recommended article: Equilibrium fluctuations for zero range processes in random environment
Recommended article: Fluctuations and Large Deviations in Non-equilibrium Systems
Recommended article: Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
Recommended article: Fluctuations and correlations in nonequilibrium systems
description: scientific article; zbMATH DE number 4066106