Generalized lower-hybrid mode with, density gradient, equilibrium ExB drift, collisions and finite electron Larmor radius: Numerical studies with MATLAB solver

TL;DR

This paper presents a MATLAB-based solver for the general dispersion relation in partially magnetized plasmas, enabling detailed numerical studies of various plasma instabilities relevant to ExB discharges.

Contribution

The developed MATLAB solver can analyze local plasma instabilities considering multiple effects like density gradient, equilibrium ExB drift, collisions, and finite electron Larmor radius.

Findings

Successful numerical analysis of Simon-Hoh, lower-hybrid, and ion-sound instabilities.

The solver allows parametric studies across a wide range of plasma parameters.

It facilitates detailed reports on plasma instability behaviors.

Abstract

MATLAB solver for general dispersion relation has been developed to study local instabilities in partially magnetized plasmas typical for ExB discharges. Several examples of the Simon-Hoh, lower-hybrid and ion-sound instabilities with the parameters typical for Penning discharge are shown. This solver allows parametrically investigate the local dispersion relation for the wide range of plasma parameters and prepare reports.