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Static large deviations of boundary driven exclusion processes

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arxiv 0908.1798 v1 pith:GEXPIGND submitted 2009-08-12 math.PR

Jonathan Farfan This is my paper · ORCID
classification math.PR
keywords boundarydrivenexclusionlargeassociateddeviationdeviationsdimension
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We prove that the stationary measure associated to a boundary driven exclusion process in any dimension satisfies a large deviation principle with rate function given by the quasi potential of the Freidlin and Wentzell theory.

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  1. A perturbative approach to the macroscopic fluctuation theory

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    A perturbative MFT calculation gives the non-equilibrium large deviation functional to order J^3 for arbitrary diffusive systems, exposing generic nonzero higher-order long-range correlations.

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