Duality and hidden equilibrium in transport models
Statistical Mechanics
2020-10-22 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Probability
Abstract
A large family of diffusive models of transport that has been considered in the past years admits a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent of dimension or topology. It provides a good opportunity to discuss questions of time reversal in out of equilibrium contexts. In particular, thanks to the mapping one may define the free-energy in the non-equilibrium states very naturally as the (usual) free energy of the mapped system.
Cite
@article{arxiv.2004.12796,
title = {Duality and hidden equilibrium in transport models},
author = {Rouven Frassek and Cristian Giardina and Jorge Kurchan},
journal= {arXiv preprint arXiv:2004.12796},
year = {2020}
}
Comments
20 pages, 1 figure