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

A. Bouley, C. Landim

Published 2024-02-08Version 1

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.