Large deviations in the symmetric simple exclusion process with slow boundaries
Statistical Mechanics
2021-02-03 v1 Mathematical Physics
math.MP
Abstract
We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to earlier results, where rates at the boundaries are comparable to the bulk ones, we show how macroscopic fluctuations are modified when the boundary rates are slower by an order of inverse of the system length.
Cite
@article{arxiv.2009.04169,
title = {Large deviations in the symmetric simple exclusion process with slow boundaries},
author = {Bernard Derrida and Ori Hirschberg and Tridib Sadhu},
journal= {arXiv preprint arXiv:2009.04169},
year = {2021}
}
Comments
14 pages, 4 figures