Transverse electric conductivity of quantum collisional maxwellian plasma
A. V. Latyshev, A. A. Yushkanov
TL;DR
This paper derives formulas for the transverse dielectric function and electric conductivity in quantum collisional Maxwellian plasma using the Wigner-Vlasov-Boltzmann equation, comparing results with Lindhard's formula.
Contribution
It provides new analytical expressions for transverse dielectric properties in quantum collisional plasma, incorporating collision effects via the BGK model.
Findings
Derived formulas for dielectric function and conductivity.
Compared results with Lindhard's formula.
Analyzed special cases of the formulas.
Abstract
Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional Maxwellian plasma are obtained. 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 in\-ves\-ti\-gated. Comparison with Lindhard's formula has been carried out.
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Taxonomy
TopicsDust and Plasma Wave Phenomena · Vacuum and Plasma Arcs · High-pressure geophysics and materials