# Diffusion and heat conductivity in the weakly ionized plasma with   power-law q-distributions in nonextensive statistics

**Authors:** Xiaoxue Ji, Jiulin Du

arXiv: 1903.03589 · 2019-03-19

## TL;DR

This paper investigates how nonextensive statistics with power-law q-distributions affect diffusion and heat conductivity in weakly ionized plasma, revealing significant dependence on q-parameters and differences from classical Maxwellian-based models.

## Contribution

It derives new expressions for transport coefficients in plasma considering nonextensive q-distributions, highlighting their dependence on q-parameters and differences from traditional models.

## Key findings

- Transport coefficients depend significantly on q-parameters.
- Transport properties differ from Maxwellian-based plasma models.
- New analytical expressions for diffusion and thermal conductivity are provided.

## Abstract

We study the diffusion and thermal conductivity of charged particles in the weakly ionized plasma with the power-law q-distributions in nonextensive statistics and without the magnetic field. Electrons and ions have different q-parameters and temperature. We derive new expressions of the diffusion, thermal diffusion, thermal conductivity and thermoelectric coefficients of electrons and ions respectively in the plasma. It is shown that these transport coefficients depend significantly on the q-parameters in the power-law q-distributed plasma and thus they have different properties from those derived in the traditional statistics with a Maxwellian distribution.

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Source: https://tomesphere.com/paper/1903.03589