Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs

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Abstract

We consider a one-dimensional gradient symmetric exclusion process in mild contact with boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non-linear second-order parabolic equation with non-linear Robin boundary conditions. We prove the dynamical large deviations principle.

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Bouley et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7b940b6db64358770fb41 https://doi.org/https://doi.org/10.48550/arxiv.2402.05816

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