Transverse electric conductivity of quantum collisional plasmas
A. V. Latyshev, A. A. Yushkanov

TL;DR
This paper derives formulas for the transverse dielectric function and electric conductivity in quantum collisional plasmas with arbitrary electron degeneracy, using the Wigner-Vlasov-BGK kinetic equation, and compares results with Lindhard's formula.
Contribution
It provides new formulas for transverse dielectric properties in quantum collisional plasmas applicable to various degeneracy levels, including fully degenerate cases.
Findings
Derived formulas for transverse dielectric function and conductivity.
Analyzed special cases including fully degenerate plasma.
Compared results with Lindhard's formula.
Abstract
Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional plasmas under arbitrary degree of degeneracy of the electron gas are received. The Wigner - Vlasov - Boltzmann kinetic equation with collision integral in BGK (Bhatnagar, Gross and Krook) form in coordinate space is used. Various special cases are investigated. The case of fully degenerate quantum plasma was considered separately. Comparison with Lindhard's formula has been realized.
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Taxonomy
TopicsVacuum and Plasma Arcs · Dust and Plasma Wave Phenomena · High-pressure geophysics and materials
