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

A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an approximate solution, the Sonine polynomials up to the third-order approximation are used. Fully ionized plasma is considered. We obtained more accur...

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Main Author Glushikhina, Maria
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.03.2020
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Abstract A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an approximate solution, the Sonine polynomials up to the third-order approximation are used. Fully ionized plasma is considered. We obtained more accurately the components for the diffusion, thermal diffusion and diffusion thermoeffect tensors in comparison with previous publications on this subject.
AbstractList A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an approximate solution, the Sonine polynomials up to the third-order approximation are used. Fully ionized plasma is considered. We obtained more accurately the components for the diffusion, thermal diffusion and diffusion thermoeffect tensors in comparison with previous publications on this subject.
A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an approximate solution, the Sonine polynomials up to the third-order approximation are used. Fully ionized plasma is considered. We obtained more accurately the components for the diffusion, thermal diffusion and diffusion thermoeffect tensors in comparison with previous publications on this subject.
Author Glushikhina, Maria
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BackLink https://doi.org/10.1134/S1063780X2002004X$$DView published paper (Access to full text may be restricted)
https://doi.org/10.48550/arXiv.2003.11306$$DView paper in arXiv
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Snippet A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an...
A solution to the Boltzmann equation is obtained for a magnetized plasma with non-degenerate electrons and ions by Chapman-Enskog method. To obtain an...
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SubjectTerms Boltzmann transport equation
Chapman-Enskog theory
Electrons
Mathematical analysis
Physics - Plasma Physics
Polynomials
Tensors
Thermal diffusion
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Title Four Tensors Determining the Thermal and Electric Conductivities of Non-Degenerate Electrons in Magnetized Plasma
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