Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics
Statistical Mechanics
2016-04-20 v2
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.
Cite
@article{arxiv.1601.06968,
title = {Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics},
author = {A. Kononovicius and J. Ruseckas},
journal= {arXiv preprint arXiv:1601.06968},
year = {2016}
}