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arXiv · 1503.03778

Canonical Ensemble in Non-extensive Statistical Mechanics

Julius Ruseckas
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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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Julius Ruseckas. 2015-03-12. Canonical Ensemble in Non-extensive Statistical Mechanics. https://doi.org/10.1016/j.physa.2015.12.011

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