Quasi-Static Large Deviations
Probability
2019-04-30 v4 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We consider the symmetric simple exclusion with open boundaries that are in contact with particle reservoirs at different densities. The reservoir densities changes at a slower time scale with respect to the natural time scale the system reaches the stationary state.This gives rise to the quasi static hydrodynamic limit proven in [10]. We study here the large deviations with respect to this limit for the particle density field and the total current. We identify explicitely the large deviation functional and prove that it satisfies a fluctuation relation.
Cite
@article{arxiv.1804.09161,
title = {Quasi-Static Large Deviations},
author = {Anna De Masi and Stefano Olla},
journal= {arXiv preprint arXiv:1804.09161},
year = {2019}
}
Comments
To appear in AIHP-PS