Integral fluctuation theorem for the housekeeping heat

Details Integral fluctuation theorem for the housekeeping heat Integral fluctuation theorem for the housekeeping heat

2005-07-18

arxiv.org/abs/cond-mat/0507420v1

J. Phys. A: Math. Gen. 38 (2005) L581-L588

Physics

Condensed Matter

Statistical Mechanics

to be published in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/38/34/L03

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 $\mean{\exp[-\beta Q\hk]}=1$ 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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