The current density and transport coefficients in the fully ionized plasma with q-distributions in nonextensive statistics

TL;DR

This paper derives generalized expressions for current density and transport coefficients in fully ionized plasmas with q-distributions under strong magnetic fields, extending classical plasma physics to nonextensive statistical frameworks.

Contribution

It introduces a generalized Boltzmann transport equation in nonextensive statistics to derive new transport coefficients dependent on q-parameters, bridging equilibrium and nonequilibrium plasma descriptions.

Findings

Transport coefficients depend strongly on q-parameters.

Results reduce to classical plasma values when q approaches 1.

Generalized formulas applicable to complex plasmas with non-Maxwellian distributions.

Abstract

We study the current density and transport coefficients in the fully ionized plasma with the q-distributions in nonextensive statistics and in strong magnetic field. By using the generalized Boltzmann transport equation in nonextensive statistics, we derive the current density and the expressions of the transport coefficients, including the conductivity, the thermoelectric coefficient, the Hall coefficient, and the Nernst coefficient. It is shown that these new transport coefficients has been generalized to the nonequilibrium complex plasmas with q-distributions in nonextensive statistics, which depend strongly on the q-parameters and when we take the limit q to 1, they perfectly return to those for the plasma based on a Maxwellian distribution.