For a symmetric exclusion process with general non-reversible boundary reservoirs, the paper proves the hydrodynamic limit (heat equation with nonlinear Robin conditions) and a dynamical large deviations principle.
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Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
For a symmetric exclusion process with general non-reversible boundary reservoirs, the paper proves the hydrodynamic limit (heat equation with nonlinear Robin conditions) and a dynamical large deviations principle.