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Nonequilibrium thermodynamics as a gauge theory

By M. Polettini

Abstract

We assume that Markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential. A widely accepted expression for the total entropy production of a system arises as the simplest gauge-invariant completion of the time derivative of Gibbs's entropy. We show that transition rates can be given a simple physical characterization in terms of locally detailed balanced heat reservoirs. It follows that Clausius's measure of irreversibility along a cyclic transformation is a geometric phase. In this picture, the gauge symmetry arises as the arbitrariness in the choice of a prior probability. Thermostatics depends on the information that is disposable to an observer; thermodynamics does not

Publisher: 'IOP Publishing'
Year: 2012
DOI identifier: 10.1209/0295-5075/97/30003
OAI identifier: oai:edpsciences.org:dkey/10.1209/0295-5075/97/30003
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