# Transport coefficients of the fully ionized plasma with   kappa-distribution and in strong magnetic field

**Authors:** Guo Ran, Du Jiulin

arXiv: 1903.04468 · 2019-03-19

## TL;DR

This paper derives and analyzes transport coefficients in fully ionized plasma with kappa-distribution under strong magnetic fields, highlighting the dependence on the kappa-parameter and recovering classical results as kappa approaches infinity.

## Contribution

It provides new analytical expressions for transport coefficients in kappa-distributed plasma under strong magnetic fields, extending traditional Maxwellian-based models.

## Key findings

- Transport coefficients depend strongly on the kappa-parameter.
- In the limit kappa to infinity, classical plasma transport coefficients are recovered.
- Numerical analysis shows the influence of kappa on transport properties.

## Abstract

Transport processes in the fully ionized plasma with kappa-distribution and in strong magnetic field are studied. By analyzing the current density and the heat flux in the kappa-distributed plasma, we derive the corresponding transport coefficients, including the electric conductivity, the thermal conductivity and thermoelectric coefficient. Besides, we derive the coefficients of Hall, Nernst and Leduc-Righi effects in the kappa-distributed plasma. It is shown that these new transport coefficients depend strongly on the kappa-parameter and only in the limit kappa to infinity, they recover the traditional forms in the plasma based on a Maxwellian distribution. We also numerically analyze the role of the kappa-parameter in the kappa-dependent transport coefficients.

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Source: https://tomesphere.com/paper/1903.04468