4.4 Article

A Nonequilibrium Extension of the Clausius Heat Theorem

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 154, Issue 1-2, Pages 188-203

Publisher

SPRINGER
DOI: 10.1007/s10955-013-0822-9

Keywords

Clausius heat theorem; Nonequilibrium fluctuations; Steady state thermodynamics

Funding

  1. Grant Agency of the Czech Republic [P204/12/0897]

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We generalize the Clausius (in)equality to overdamped mesoscopic and macroscopic diffusions in the presence of nonconservative forces. In contrast to previous frameworks, we use a decomposition scheme for heat which is based on an exact variant of the Minimum Entropy Production Principle as obtained from dynamical fluctuation theory. This new extended heat theorem holds true for arbitrary driving and does not require assumptions of local or close to equilibrium. The argument remains exactly intact for diffusing fields where the fields correspond to macroscopic profiles of interacting particles under hydrodynamic fluctuations. We also show that the change of Shannon entropy is related to the antisymmetric part under a modified time-reversal of the time-integrated entropy flux.

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