Dynamical nonextensivity or nonextensive dynamics?

TL;DR

This paper explores how nonextensive statistical mechanics and dynamical effects interplay in dense matter, using a quasi-particle model with effective fugacities to analyze deviations from traditional Boltzmann-Gibbs statistics.

Contribution

It introduces a framework to study the combined effects of nonextensivity and dynamics in dense matter using a simplified quasi-particle model.

Findings

Nonextensive effects characterized by parameter q influence dense matter properties.

Dynamical modifications via effective fugacities z alter the statistical behavior.

Interplay between nonextensivity and dynamics can explain deviations from classical models.

Abstract

Dense matter is usually described using some kind of mean field theory (MFT) model based on Boltzmann-Gibbs (BG) extensive statistics. However, in many cases the conditions justifying the use of BG statistics are not fulfilled because the systems considered are explicitly nonextensive. In such cases one either enriches the original MFT by adding some dynamical elements violating extensivity (like, for example, long range correlations or intrinsic fluctuations), or one replaces the BG statistics by its nonextensive counterpart characterized by some nonextensivity parameter q 1 (for q -> 1 one returns to the extensive situation). In this work, using a simple quasi-particle description of dense matter (with interaction modelled by effective fugacities, z) we discuss the mutual interplay of non-extensiveness and dynamics (i.e., q and z).