Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

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.

Published in at http://dx.doi.org/10.1214/09-AOP472 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (3)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Large deviation approach to non equilibrium processes in stochastic lattice gases
• Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process

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• Large deviation principles for nongradient weakly asymmetric stochastic lattice gases
• Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices
• Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries
• Motion by curvature and large deviations for an interface dynamics on ${\mathbb{Z}}^2$