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

A. Bouley; C. Landim

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arXiv · 2402.05816

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

A. Bouley·C. Landim

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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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A. Bouley, C. Landim. 2024-02-08. Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs. https://arxiv.org/abs/2402.05816

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