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Four Tensors Determining Thermal and Electric Conductivities of Degenerate Electrons in Magnetized Plasma

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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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ACKNOWLEDGMENTS

This work was supported by the Russian Science Foundation, project no. 18-12-00378.

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Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, 117997, Moscow, Russia

    G. S. Bisnovatyi-Kogan & M. V. Glushikhina

  2. National Research Nuclear University MEPhI, 115409, Moscow, Russia

    G. S. Bisnovatyi-Kogan

Authors
  1. G. S. Bisnovatyi-Kogan
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  2. M. V. Glushikhina
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Corresponding authors

Correspondence to G. S. Bisnovatyi-Kogan or M. V. Glushikhina.

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Translated by I. Shumai

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Bisnovatyi-Kogan, G.S., Glushikhina, M.V. Four Tensors Determining Thermal and Electric Conductivities of Degenerate Electrons in Magnetized Plasma. Plasma Phys. Rep. 44, 1114–1125 (2018). https://doi.org/10.1134/S1063780X18120024

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  • DOI: https://doi.org/10.1134/S1063780X18120024

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