Reference : Nonequilibrium thermodynamics as a gauge theory
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/10993/10309
Nonequilibrium thermodynamics as a gauge theory
English
Polettini, Matteo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
2012
European Physics Letters
IOP
97
3
30003
Yes
International
[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.
Researchers
http://hdl.handle.net/10993/10309
10.1209/0295-5075/97/30003
http://iopscience.iop.org/0295-5075/97/3/30003

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