Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

Details Dynamical large deviations for the boundary driven weakly asymmetric exclusion process Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

2008-04-15

arxiv.org/abs/0804.2458v2

Annals of Probability 2009, Vol. 37, No. 6, 2357-2403

Mathematics

Probability

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

Scientific paper

10.1214/09-AOP472

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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