Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions

TL;DR

This paper explores the application of Tsallis nonextensive statistics to non-isothermal plasma systems with Coulomb long-range interactions, providing a new mathematical expression for the nonextensive parameter q and its physical interpretation.

Contribution

It introduces a novel mathematical expression for the nonextensive parameter q based on generalized Boltzmann equation theory and applies it to plasma systems with Coulomb interactions.

Findings

Derived a new expression for q in non-isothermal plasmas.

Provided a physical explanation for the nonextensive parameter q.

Suggested Tsallis statistics as suitable for nonequilibrium plasma systems.

Abstract

The nonextensivity in a non-isothermal plasma system with the Coulombian long-range interactions is studied in the framework of Tsallis statistics. We present for first time a mathematical expression of the nonextensive parameter q based on the mathematical theory about the generalized Boltzmann equation and the q-H theorem and the Maxwellian q-velocity distribution. We obtain a new physical explanation for q concerning the nature of non-isothermal configurations in plasma systems with Coulombian long-range interactions. We also provide one illustration for Almeida theorem (Physica A 300(2001)424) from the kinetic analyses of plasma systems, which means that Tsallis statistics might be a suitable statistics for the description of a nonequilibrium system with a temperature gradient in it.