Geometrical Expression of Excess Entropy Production
Statistical Mechanics
2015-05-30 v4
Abstract
We derive a geometrical expression of the excess entropy production for quasi-static transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The obtained expression is geometrical; the excess entropy production depends only on a trajectory in the parameter space, analogous to the Berry phase in quantum mechanics. Our results imply that vector potentials are needed to construct thermodynamics of nonequilibrium steady states.
Keywords
Cite
@article{arxiv.1109.0796,
title = {Geometrical Expression of Excess Entropy Production},
author = {Takahiro Sagawa and Hisao Hayakawa},
journal= {arXiv preprint arXiv:1109.0796},
year = {2015}
}