Duality and hidden equilibrium in transport models
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 freeenergy in the nonequilibrium states very naturally as the (usual) free energy of the mapped system.
 Publication:

SciPost Physics
 Pub Date:
 October 2020
 DOI:
 10.21468/SciPostPhys.9.4.054
 arXiv:
 arXiv:2004.12796
 Bibcode:
 2020ScPP....9...54F
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Probability
 EPrint:
 20 pages, 1 figure