Large deviation functional of the weakly asymmetric exclusion process

Abstract

We obtain the large deviation functional of a density profile for the asymmetric exclusion process of L sites with open boundary conditions when the asymmetry scales like 1/L. We recover as limiting cases the expressions derived recently for the symmetric (SSEP) and the asymmetric (ASEP) cases. In the ASEP limit, the non linear differential equation one needs to solve can be analysed by a method which resembles the WKB method.

References in corpus (2)

• Stationary correlations for a far-from-equilibrium spin chain
• Non-equilibrium stationary state of a two-temperature spin chain

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