Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion

2002/02/08 by O. Benois, R. Esposito, Benois, O. +5
Mathematics · Physics and Astronomy · #60K35 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:60K35

paper · pdf · doi:10.48550/arxiv.math-ph/0202014

arxiv created 2002/02/08 · arxiv updated 2009/11/30

Abstract

We consider the asymmetric simple exclusion process in d≥ 3 with open boundaries. The particle reservoirs of constant densities are modeled by birth and death processes at the boundary. We prove that, if the initial density and the densities of the boundary reservoirs differ for order of ε from 1/2, the density empirical field, rescaled as ε^-1, converges to the solution of the initial-boundary value problem for the viscous Burgers equation in a finite domain with given density on the boundary.

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