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Work relations for a system governed by Tsallis statistics.

Ford, IJ; Eyre, RW; (2015) Work relations for a system governed by Tsallis statistics. Physical Review E , 92 (2-1) , Article 022143. 10.1103/PhysRevE.92.022143. Green open access

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Abstract

We derive analogs of the Jarzynski equality and Crooks relation to characterize 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.

Type: Article
Title: Work relations for a system governed by Tsallis statistics.
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.92.022143
Publisher version: http://dx.doi.org/10.1103/PhysRevE.92.022143
Language: English
Additional information: ©2015 American Physical Society
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/1472522
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