Behaviour of plasma with arbitrary degree of degeneration of electronic gas in a slab of conducting medium

TL;DR

This paper derives an analytical solution for plasma oscillations in a conducting slab considering arbitrary electron degeneracy, using kinetic equations and boundary conditions.

Contribution

It presents a novel analytical solution for plasma oscillations with arbitrary electron degeneracy in a conducting slab, incorporating kinetic and Maxwell equations.

Findings

Analytical solution for plasma oscillations obtained

Applicable to plasmas with various degrees of electron degeneracy

Uses kinetic Vlasov-Boltzmann and Maxwell equations

Abstract

The analytical solution of the boundary problem on behaviour (oscillations) of the electronic plasmas with arbitrary degree of degeneration of electronic gas in a slab of the conducting medium is received. The kinetic Vlasov---Boltzmann equation with integral of collisions type BGK (Bhatnagar, Gross and Krook) and Maxwell equation for electric field are applied. Mirror (reflections) boundary conditions are used.