Asymptotic equivalence of fluctuation fields for reversible exclusion processes with speed change
type: Item
instance of: scholarly article
title: Asymptotic equivalence of fluctuation fields for reversible exclusion processes with speed change
zbMATH Open document ID: 0609.60097
author: Herbert Spohn
author: Anna De Masi
author: Errico Presutti
author: W. David Wick
published in: The Annals of Probability
publication date: 1986-01-01T00:00:00Z
review text: Continuous time stochastic dynamics of an n-dimensional infinite lattice gas is investigated. The fluctuation field for rapidly decreasing smoothing function is shown to be asymptotically equivalent to that of the density of the gas under appropriate space-time renormalization. In the special case of particles, jump rates of a gradient type, the limit field is proved to be a Gaussian field which is an infinite-dimensional analogue of the Ornstein-Uhlenbeck field. The extension of the latter result to non-gradient jump rates is suggested but not proved.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 3986350
zbMATH Keywords: lattice gas
zbMATH Keywords: fluctuation field
zbMATH Keywords: rapidly decreasing smoothing function
zbMATH Keywords: space-time renormalization
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176992524
OpenAlex ID: W2081717750
DOI: 10.1214/AOP/1176992524
description: scientific article; zbMATH DE number 3986350