A large family of diffusive models of transport that have been considered in the past years admit 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.
Duality and hidden equilibrium in transport models / Frassek, R.; Giardina', C.; Kurchan, J.. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 9:4(2020), pp. 054/1-054/18. [10.21468/SCIPOSTPHYS.9.4.054]
Duality and hidden equilibrium in transport models
Frassek R.;Giardina' C.;
2020
Abstract
A large family of diffusive models of transport that have been considered in the past years admit 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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