Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach

Abstract

Formulas for transverse conductance in quantum collisional plasma are deduced. The kinetic equation in momentum space in the relaxation approach is used. It is shown, that at → 0 the derived formula transfers to the classical one. It is shown also, that when electron collision frequency tends to null (i.e. plasma becomes collisionless), the conductance formula transfers in the known formula inferred earlier by Lindhard.

Magnetic susceptibility and Landau diamagnetism of a quantum collisional degenerate plasma

“…The expression for the transverse conductivity of a degenerate collisional plasma is determined by the general formula [8] …”

“…We use expression (8) to derive formula (10) for the Landau diamagnetism. For z = iy = 0, formula (8) for the magnetic susceptibility of a quantum collisionless degenerate plasma implies the expression…”

“…An expression for the quantum transverse dielectric permittivity of a degenerate plasma satisfying all the necessary consistency requirements was first obtained in [8]. Here, we give the first kinetic description of the magnetic susceptibility of a quantum collisional degenerate plasma using a correct expression for the transverse conductivity [8].…”

“…Here, we give the first kinetic description of the magnetic susceptibility of a quantum collisional degenerate plasma using a correct expression for the transverse conductivity [8]. We also derive a formula for calculating the Landau diamagnetism of a degenerate collisional plasma.…”

Продольная Электрическая Проводимость В Квантовой Плазме С Переменной Частотой Столкновений В Рамках Подхода Мермина

“…В этих работах использовалось кинетическое уравнение Вигнера-Власова-Больцмана в релаксационном приближении в коорди-натном пространстве. В работе [9] была выведена формула для поперечной элек-трической проводимости квантовой столкновительной плазмы с использованием ки-нетического уравнения в подходе Мермина (в пространстве импульсов).…”