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arXiv · 1601.06968

Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics

A. Kononovicius·J. Ruseckas
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Abstract

The non-extensive statistical mechanics has been applied to describe a variety of complex systems with inherent correlations and feedback loops. Here we present a dynamical model based on previously proposed static model exhibiting in the thermodynamic limit the extensivity of the Tsallis entropy with q<1 as well as a q-Gaussian distribution. The dynamical model consists of a one-dimensional ring of particles characterized by correlated binary random variables, which are allowed to flip according to a simple random walk rule. The proposed dynamical model provides an insight how a mesoscopic dynamics characterized by the non-extensive statistical mechanics could emerge from a microscopic description of the system.

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A. Kononovicius, J. Ruseckas. 2016-02-03. Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics. https://doi.org/10.1016/j.physleta.2016.03.006

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