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Integral fluctuation theorem for the housekeeping heat

T. Speck·U. Seifert
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Abstract

The housekeeping heat $Q\hk$ is the dissipated heat necessary to maintain the violation of detailed balance in nonequilibrium steady states. By analyzing the evolution of its probability distribution, we prove an integral fluctuation theorem $\mean{\exp[-βQ\hk]}=1$ valid for arbitrary driven transitions between steady states. We discuss Gaussian limiting cases and the difference between the new theorem and both the Hatano-Sasa and the Jarzynski relation.

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T. Speck, U. Seifert. 2005-07-18. Integral fluctuation theorem for the housekeeping heat. https://doi.org/10.1088/0305-4470%2F38%2F34%2Fl03

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