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arXiv · 1408.0088

Probabilistic model of N correlated binary random variables and 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, thus simple models exhibiting some important properties described by the non-extensive statistical mechanics are useful to provide deeper physical insights. In this article we present a simple model, consisting of a one-dimensional chain of particles characterized by binary random variables, that exhibits both the extensivity of the generalized entropy with q<1 and a q-Gaussian distribution in the limit of the large number of particles.

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Julius Ruseckas. 2014-08-01. Probabilistic model of N correlated binary random variables and non-extensive statistical mechanics. https://arxiv.org/abs/1408.0088

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