Work relations for a system governed by Tsallis statistics
Statistical Mechanics
2015-09-30 v1
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.
Cite
@article{arxiv.1508.06651,
title = {Work relations for a system governed by Tsallis statistics},
author = {Ian J. Ford and Robert W. Eyre},
journal= {arXiv preprint arXiv:1508.06651},
year = {2015}
}