Technique of Examination of the Current Sheath Stability in the Electrically Neutral Approximation

TL;DR

This paper develops a comprehensive method for analyzing current sheath stability in plasma using kinetic theory, introducing a new dispersion equation and dielectric tensor for inhomogeneous plasma.

Contribution

It introduces a novel dispersion equation and dielectric tensor for inhomogeneous plasma, enabling detailed stability analysis of current sheaths in the neutral approximation.

Findings

Dispersion equation for inhomogeneous plasma derived

Dielectric permeability tensor calculated

Stability analysis method developed

Abstract

The procedure of comprehensive analysis of instability of current sheathes in a wide range of frequencies and wave lengths in the electrically neutral approximation has been developed. This comprehensive analysis of instability is based on the consecutive solution of the kinetic equation with a self-consistent electromagnetic field (Vlasov's equation). For the first time the dispersion equation for the sharply inhomogeneous plasma of current sheath is introduced and the tensor of dielectric permeability is calculated.