Article (Scientific journals)
Nonequilibrium thermodynamics as a gauge theory
Polettini, Matteo
2012In European Physics Letters, 97 (3), p. 30003
Peer reviewed
 

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Abstract :
[en] 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.
Disciplines :
Physics
Author, co-author :
Polettini, Matteo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Language :
English
Title :
Nonequilibrium thermodynamics as a gauge theory
Publication date :
2012
Journal title :
European Physics Letters
Publisher :
IOP
Volume :
97
Issue :
3
Pages :
30003
Peer reviewed :
Peer reviewed
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