arXiv Analytics

Sign in

arXiv:0804.2458 [math.PR]AbstractReferencesReviewsResources

Dynamical large deviations for the boundary driven weakly asymmetric exclusion process

Lorenzo Bertini, Claudio Landim, Mustapha Mourragui

Published 2008-04-15, updated 2009-12-14Version 2

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.

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)
Journal: Annals of Probability 2009, Vol. 37, No. 6, 2357-2403
Categories: math.PR, math-ph, math.MP
Subjects: 82C22, 60F10, 82C35
Related articles: Most relevant | Search more
arXiv:0806.2296 [math.PR] (Published 2008-06-13)
Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process
arXiv:1504.05771 [math.PR] (Published 2015-04-22)
Nonequilibrium fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes
arXiv:2411.17653 [math.PR] (Published 2024-11-26)
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations

Links

Toolbox