Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

Lorenzo Bertini, Claudio Landim, and Mustapha Mourragui

Source: Ann. Probab. Volume 37, Number 6 (2009), 2357-2403.

Abstract

We consider the weakly asymmetric exclusion process on a bounded interval with particle reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in the diffusive scaling, is given by the viscous Burgers equation with Dirichlet boundary conditions. We prove the associated dynamical large deviations principle.

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Primary Subjects: 82C22

Secondary Subjects: 60F10, 82C35

Keywords: Exclusion process; large deviations; stationary nonequilibrium states

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Permanent link to this document: http://projecteuclid.org/euclid.aop/1258380792
Digital Object Identifier: doi:10.1214/09-AOP472
Mathematical Reviews number (MathSciNet): MR2573561
Zentralblatt MATH identifier: 1187.82083

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