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.
Publié le : 2009-11-15
Classification:
Exclusion process,
large deviations,
stationary nonequilibrium states,
82C22,
60F10,
82C35
@article{1258380792,
author = {Bertini, Lorenzo and Landim, Claudio and Mourragui, Mustapha},
title = {Dynamical large deviations for the boundary driven weakly asymmetric exclusion process},
journal = {Ann. Probab.},
volume = {37},
number = {1},
year = {2009},
pages = { 2357-2403},
language = {en},
url = {http://dml.mathdoc.fr/item/1258380792}
}
Bertini, Lorenzo; Landim, Claudio; Mourragui, Mustapha. Dynamical large deviations for the boundary driven weakly asymmetric exclusion process. Ann. Probab., Tome 37 (2009) no. 1, pp. 2357-2403. http://gdmltest.u-ga.fr/item/1258380792/