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arXiv · 1109.0796

Geometrical Expression of Excess Entropy Production

Takahiro Sagawa·Hisao Hayakawa
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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.

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Takahiro Sagawa, Hisao Hayakawa. 2011-11-16. Geometrical Expression of Excess Entropy Production. https://doi.org/10.1103/physreve.84.051110

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