# Four tensors determining thermal and electric conductivities of degenerate electrons in magnetized plasma

## TL;DR

This paper derives analytical expressions for four tensors that describe thermal and electric conductivities of strongly degenerate electrons in magnetized plasma, revealing complex magnetic field dependencies.

## Contribution

It provides the first asymptotically accurate analytical formulas for these tensors in a magnetized plasma with degenerate electrons, improving understanding of plasma conductivity properties.

## Key findings

- Derived four tensors for thermal and electric conductivities.
- Revealed complex magnetic field dependence of these tensors.
- Provided first analytical expressions for these properties in such plasma.

## Abstract

A solution to the Boltzmann equation is obtained for a magnetized plasma with strongly degenerate nonrelativistic electrons and nondegenerate nuclei. The components of the diffusion, thermal diffusion and diffusion thermoeffect tensors in a nonquantizing magnetic field are calculated in the Lorentz approximation without allowance for electron-electron collisions, which is asymptotically accurate for plasma with strongly degenerate electrons. Asymptotically accurate analytical expressions for the electron diffusion, thermal diffusion and diffusion thermoeffect tensors in the presence of a magnetic field are obtained for the first time. The expressions reveal a considerably more complicated dependence on magnetic field than analogous dependences derived in the previous publications on this subject.

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Source: https://tomesphere.com/paper/1902.01156