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Canonical Ensemble in Non-extensive Statistical Mechanics

Authors
  • Ruseckas, Julius
Type
Preprint
Publication Date
Mar 19, 2015
Submission Date
Mar 12, 2015
Identifiers
DOI: 10.1016/j.physa.2015.12.011
Source
arXiv
License
Yellow
External links

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 article 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.

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