2014/08/01 by Julius Ruseckas, Ruseckas, Julius · 1 citation
Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #FOS: Physical sciences #Statistical Distribution Estimation and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1408.0088
openalex publication_date 2014/08/01 · arxiv created 2014/08/05 · arxiv updated 2014/08/06 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
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.