Current Large Deviations for Asymmetric Exclusion Processes with Open Boundaries

2005/09/07 by T. Bodineau, B. Derrida · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Random Matrices and Applications #Stochastic processes and statistical mechanics #cond-mat.stat-mech #math.PR

paper · pdf · doi:10.1007/s10955-006-9048-4

arxiv created 2005/09/07 · openalex publication_date 2006/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs.We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.

Citations

• Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

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