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arXiv · 1508.06651

Work relations for a system governed by Tsallis statistics

Ian J. Ford·Robert W. Eyre
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Abstract

We derive analogues of the Jarzynski equality and Crooks relation to characterise the nonequilibrium work associated with changes in the spring constant of an overdamped oscillator in a quadratically varying spatial temperature profile. The stationary state of such an oscillator is described by Tsallis statistics, and the work relations for certain processes may be expressed in terms of q-exponentials. We suggest that these identities might be a feature of nonequilibrium processes in circumstances where Tsallis distributions are found.

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Ian J. Ford, Robert W. Eyre. 2015-08-26. Work relations for a system governed by Tsallis statistics. https://doi.org/10.1103/physreve.92.022143

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