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 (6)

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• Large deviation functional of the weakly asymmetric exclusion process
• Large deviations for the boundary driven symmetric simple exclusion process
• Large deviation approach to non equilibrium processes in stochastic lattice gases
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Cited by in corpus (8)

• Microscopic versus macroscopic approaches to non-equilibrium systems
• Canonical structure and orthogonality of forces and currents in irreversible Markov chains
• Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
• Action functional and quasi-potential for the Burgers equation in a bounded interval
• 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 ${\mathbb{Z}}^2$