Canonical ensemble in non-extensive statistical mechanics

Julius Ruseckas

Physica A: Statistical Mechanics and its Applications, 2016, vol. 447, issue C, 85-99

Abstract: The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. The non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. In this paper we investigate the canonical ensemble in the non-extensive statistical mechanics using a more traditional way, by considering a small system interacting with a large reservoir via short-range forces. The reservoir is characterized by generalized entropy instead of the Boltzmann–Gibbs entropy. Assuming equal probabilities for all available microstates we derive the equations of the non-extensive statistical mechanics. Such a procedure can provide deeper insight into applicability of the non-extensive statistics.

Keywords: Generalized statistical mechanics; Tsallis entropy; Canonical ensemble; Nonextensivity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:447:y:2016:i:c:p:85-99

DOI: 10.1016/j.physa.2015.12.011

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