Fluctuation theorems in q-canonical ensembles

Haridas Umpierrez and Sergio Davis

Physica A: Statistical Mechanics and its Applications, 2021, vol. 563, issue C

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.

Keywords: Tsallis statistics; Superstatistics; Bayesian theory (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307044

DOI: 10.1016/j.physa.2020.125337

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