Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs
Probability
2024-02-09 v1
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.
Cite
@article{arxiv.2402.05816,
title = {Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs},
author = {A. Bouley and C. Landim},
journal= {arXiv preprint arXiv:2402.05816},
year = {2024}
}