Geometrical Expression of Excess Entropy Production

Geometrical Expression of Excess Entropy Production 

Takahiro Sagawa1,2 and Hisao Hayakawa2 1The Hakubi Center, The Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8302, Japan 2Yukawa Institute for Theoretical Physics, The Kyoto University, Kitashirakawa Oiwake-Cho, 606-8502 Kyoto, Japan (Dated: November 17, 2011) 

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 the thermodynamics of nonequilibrium steady states.

PACS numbers: 05.70.Ln, 05.40.-a, 02.50.Ga


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http://arxiv.org/pdf/1109.0796.pdf