Nonextensivity and q-distribution of a relativistic gas under an external electromagnetic field

TL;DR

This paper explores the nonextensive statistical mechanics of a relativistic gas influenced by an external electromagnetic field, deriving a formula for the nonextensive parameter q and linking it to physical quantities.

Contribution

It introduces a relativistic nonextensive framework and derives a formula for the nonextensive parameter q based on the relativistic Boltzmann equation and related theorems.

Findings

Derived a formula for the nonextensive parameter q

Connected 1-q to temperature and electromagnetic potential derivatives

Provided a physical interpretation of nonextensivity in relativistic gases

Abstract

We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive a formula expression of the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of q-power-law distribution function in the nonextensive q-kinetic theory. We thus provide the connection between the parameter 1-q and the differentiation of the temperature field of the gas as well as the four-potential with respect to time and space coordinates, and therefore present the nonextensivity for the gas a clearly physical meaning.