Non-Extensive Transport Equations in Magnetized Plasmas

TL;DR

This paper develops a comprehensive kinetic model for collisional transport in magnetized plasmas based on nonextensive Tsallis statistics, deriving solutions and transport coefficients for applications in space and magnetic confinement plasmas.

Contribution

It introduces the first complete self-consistent kinetic model for nonextensive plasma transport based on Tsallis entropy, extending traditional Maxwell-Boltzmann approaches.

Findings

Derived solutions for electron behavior in strongly magnetized plasmas.

Calculated transport coefficients for nonextensive plasma models.

Applied the model to space plasma heat transport and cold pulse phenomena.

Abstract

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics according to the Tsallis entropy. Starting only from the definition of this entropy, we derive the kinetic model, find its solutions for the electrons in a strongly magnetized plasmas, and calculate the respective transport coefficients in order to set the closed fluid equations. The results are further applied to model heat transport in space plasmas and the cold pulse phenomenon in magnetic confined plasmas.