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

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.