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Current large deviations for Asymmetric Exclusion Processes with open boundaries

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arxiv cond-mat/0509179 v1 pith:4BBFRGOR submitted 2005-09-07 cond-mat.stat-mech math.PR

T. Bodineau , B. Derrida This is my paper · ORCID
classification cond-mat.stat-mechmath.PR
keywords functionalasymmetricexclusionlargecurrentjensen-varadhanopenprocess
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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.

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  1. Large deviation principle for the stationary measures of open asymmetric simple exclusion processes

    math.PR 2024-12 accept novelty 7.0 of 10

    For the fan region of open ASEP, the stationary height profile satisfies an LDP with rate function depending only on the two boundary effective densities, equal to the open TASEP rate function.

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