Dynamical large deviations for the boundary driven weakly asymmetric exclusion process
Probability
2009-12-14 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0804.2458,
title = {Dynamical large deviations for the boundary driven weakly asymmetric exclusion process},
author = {Lorenzo Bertini and Claudio Landim and Mustapha Mourragui},
journal= {arXiv preprint arXiv:0804.2458},
year = {2009}
}
Comments
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)