Nonequilibrium fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes

Authors
Gonçalves, Patrícia Landim,Claudio Milanés, Aniura
Citation
Gonçalves, Patrícia et al., Nonequilibrium fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes, Annals of applied probability , 27(1), 2017, pp. 140-177
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
27
Issue
1
Year of publication
2017
Pages
140 - 177
Database
ACNP
SICI code
Abstract
We consider one-dimensional, boundary driven, weakly asymmetric exclusion processes in contact with reservoirs at fixed density. For a general set of initial measures and by using a microscopic Cole-Hopf transformation, we derive the nonequilibrium fluctuations which are given by a generalized Ornstein-Uhlenbeck process.