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Publication Detail
Work relations for a system governed by Tsallis statistics.
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Journal Article
  • Authors:
    Ford IJ, Eyre RW
  • Publication date:
    26/08/2015
  • Pagination:
    022143, ?
  • Journal:
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • Volume:
    92
  • Issue:
    2
  • Medium:
    Print-Electronic
  • Status:
    Published
  • Print ISSN:
    1539-3755
  • Language:
    eng
  • Addresses:
    Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.
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.
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