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November 2009 Dynamical large deviations for the boundary driven weakly asymmetric exclusion process
Lorenzo Bertini, Claudio Landim, Mustapha Mourragui
Ann. Probab. 37(6): 2357-2403 (November 2009). DOI: 10.1214/09-AOP472

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.

Citation

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Lorenzo Bertini. Claudio Landim. Mustapha Mourragui. "Dynamical large deviations for the boundary driven weakly asymmetric exclusion process." Ann. Probab. 37 (6) 2357 - 2403, November 2009. https://doi.org/10.1214/09-AOP472

Information

Published: November 2009
First available in Project Euclid: 16 November 2009

zbMATH: 1187.82083
MathSciNet: MR2573561
Digital Object Identifier: 10.1214/09-AOP472

Subjects:
Primary: 82C22
Secondary: 60F10, 82C35

Rights: Copyright © 2009 Institute of Mathematical Statistics

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Vol.37 • No. 6 • November 2009
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