Duality and hidden equilibrium in transport models

Rouven Frassek, Cristian Giardina, Jorge Kurchan

SciPost Phys. 9, 054 (2020) · published 20 October 2020


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.

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