Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 563, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2020.125337
Keywords
Tsallis statistics; Superstatistics; Bayesian theory
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Funding
- CONICYT Anillo [ACT-172101]
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Generalizations of statistical mechanics such as Tsallis statistics and superstatistics explain power-law distributions in long-range interacting systems and complex systems. This study utilizes fluctuation theorems for q-canonical ensembles to determine strong conditions for the possible values of q.
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. (C) 2020 Elsevier B.V. All rights reserved.
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