Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps
Probability
2022-10-19 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the Fick's law, which are a consequence of a relationship between the exclusion process and the zero-range process. We also obtain the large deviation principle for the empirical density, i.e. we compute the non-equilibrium free energy.
Keywords
Cite
@article{arxiv.2201.07573,
title = {Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps},
author = {Cédric Bernardin and Patricia Gonçalves and Byron Oviedo-Jiménez and Stefano Scotta},
journal= {arXiv preprint arXiv:2201.07573},
year = {2022}
}