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.

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.