Dynamical Correlations as Origin of Nonextensive Entropy

TL;DR

This paper demonstrates that certain dynamical correlations in systems can lead to nonextensive entropy, exemplified by a system with non-Boltzmann energy distribution, linking it to prethermalization phenomena.

Contribution

It provides a simple, general argument connecting dynamical correlations to Tsallis nonextensive statistics, with an illustrative example and discussion on prethermalization.

Findings

Dynamical correlations can produce nonextensive entropy.

An example system exhibits non-Boltzmann energy distribution.

Relation to prethermalization processes is discussed.

Abstract

We present a simple and general argument showing that a class of dynamical correlations give rise to the so-called Tsallis nonextensive statistics. An example of a system having such a dynamics is given, exhibiting a non-Boltzmann energy distribution. A relation with prethermalization processes is discussed.