Geometrical Expression of Excess Entropy Production

Details Geometrical Expression of Excess Entropy Production Geometrical Expression of Excess Entropy Production

2011-09-05

arxiv.org/abs/1109.0796v4

Phys. Rev. E 84, 051110 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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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