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Fluctuation theorems in q-canonical ensembles

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  • Umpierrez, Haridas
  • Davis, Sergio

Abstract

Generalizations of statistical mechanics such as Tsallis statistics and superstatistics, among others, describe the occurrence of power-law distributions in long-range interacting systems and complex systems in diverse areas, particularly the so-called q-exponential family of distributions. In this work we present the use of fluctuation theorems for q-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of q depending on the density of states of the system.

Suggested Citation

  • Umpierrez, Haridas & Davis, Sergio, 2021. "Fluctuation theorems in q-canonical ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    • Handle: RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307044
    DOI: 10.1016/j.physa.2020.125337
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    References listed on IDEAS

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    Cited by:

    1. Davis, Sergio, 2022. "Fluctuating temperature outside superstatistics: Thermodynamics of small systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Masamichi Ishihara, 2022. "Thermodynamics of the independent harmonic oscillators with different frequencies in the Tsallis statistics in the high physical temperature approximation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-10, March.
    3. Davis, Sergio, 2022. "A classification of nonequilibrium steady states based on temperature correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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