Fluctuation theorems in nonextensive statistics

Haridas Umpierrez; Sergio Davis

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arXiv · 1909.12816

Fluctuation theorems in nonextensive statistics

Haridas Umpierrez·Sergio Davis

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Abstract

Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, 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.

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Haridas Umpierrez, Sergio Davis. 2019-09-27. Fluctuation theorems in nonextensive statistics. https://arxiv.org/abs/1909.12816

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