Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries
Mathematical Physics
2015-06-19 v2 Statistical Mechanics
math.MP
Probability
Abstract
We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process (SIP) by coupling it to two particle-reservoirs at the two boundaries with slightly different chemical potentials. The boundaries introduce irreversibility and induce a weak particle current in the system. We calculate the McLennan ensemble for SIP, which corresponds to the entropy production and the first order non-equilibrium correction for the stationary state. We find that the first order correction is a product measure, and is consistent with the local equilibrium measure corresponding to the steady state density profile.
Keywords
Cite
@article{arxiv.1405.1363,
title = {Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries},
author = {Kiamars Vafayi and Manh Hong Duong},
journal= {arXiv preprint arXiv:1405.1363},
year = {2015}
}
Comments
17 pages, revised