Electrodynamics of Plasma with Random Scattering Boundary

Abstract

The general electromagnetic solution of the set of Maxwell-Boltzman equations is obtained for the case of semi-infiite multicomponent plasma at the assumption that (i) the random scattering of charged particles at the boundary takes place and (ii) the full particle flow is convserved in the process of scattering. The dielectric response function and the correlation functions for microcurrents have been found for such a plasma system and the relation between these functions has been written in the form of a generalization of the fluctuation-dissipation theorem. As the applications of these results to the investigation of physical phenomena the reflection of a plane wave from the plasmadielectric interface and the spectrum of excitations in a plasma with random scattering boundary were considered.

Counter-ions at single charged wall: Sum rules

“…Because of asymmetry of the screening cloud around a particle sitting near the wall, the two-body Ursell functions decay slowly along the wall [49,50]. Using linear response in combination with a simple macroscopic argument based on the electrostatic method of images [51,52,53], one expects an asymptotic inverse-power law behavior…”

“…The WLMB (Wertheim, Lovett, Mou, Buff) equations [46,47], originally derived for neutral particles, were adapted to charged systems as well [48]. The charge-charge correlation functions decay slowly as an inverse-power law along the wall [49,50] and a sum rule for the amplitude function holds [51,52,53]. A relation between this algebraic tail and the dipole moment was found in [54].…”