Gravitational Instability Analysis in Multi-Ion Dense Quantum Magnetoplasma

TL;DR

This paper investigates gravitational Rayleigh-Taylor instability in a dense, multi-ion quantum magnetoplasma, analyzing how quantum effects, magnetic fields, and ion drifts influence instability growth rates with relevance to astrophysical plasmas.

Contribution

It derives a generalized dispersion relation for multi-ion quantum magnetoplasmas and analyzes the effects of quantum, magnetic, and ion drift parameters on RT instability.

Findings

Ion drift speeds significantly alter instability growth rates

Magnetic field influences the stability characteristics

Quantum effects modify wave behavior in dense plasmas

Abstract

Electrostatic Gravitational or Rayleigh-Taylor (RT) instability in an inhomogeneous magnetized multi-ions plasma with some fraction of quantum mechanical electrons. The effect of Bohm potential, temperature degeneracy and magnetic field are carried out. A generalized dispersion relation is deduced under the drift approximation. The presence of negative ions with their different streaming velocities make the dispersion relation a cubic equation. Different roots of both real and imaginary parts of the RT mode are studied by using the Cardano method of solving the cubic equation. The growth rates of RT instability are examined analytically and numerically. It is shown that the basic features of these waves are significantly modified by the positive and negative ions drift speed as well as by the magnetic field and density. Relevance of the work regarding to dense astrophysical plasmas is pointed out.