Landou's Half-Space Problem of Degenerate Plasma Oscillations with Specular-Accommodative Boundary Conditions

TL;DR

This paper analytically solves the half-space plasma oscillation problem with specular-accommodative boundary conditions, deriving explicit expressions for electron distribution and electric field, advancing understanding of plasma boundary behaviors.

Contribution

It introduces an analytical solution to plasma oscillations with novel boundary conditions, providing explicit formulas for distributions and fields.

Findings

Explicit formulas for electron distribution at the boundary

Derived coefficients for continuous and discrete spectra

Analytical expressions for electric field in plasma

Abstract

In the present paper the linearized problem of half-space plasma oscillations in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the plasma boundary are considered. Coefficients of continuous and discrete spectra of the problem are found, and electron distribution function on the plasma boundary and electric field are expressed in explicit form.