Acoustic Instability with Dynamic Charging in Quantum Plasmas

Abstract

The time-dependent charging phenomenon of dust particles is timely studied in quantum plasmas with low frequency dust dynamical temporal scales referred to as dust acoustic waves. The quantum effects are incorporated through Fermi pressure, exchange-correlation potential as well as the Bohm potential. The quantum fluid model is employed in getting the dispersion relation pointing to the damping instability. The damping instability is analysed across the whole spectrum k, on varying ion-thermal temperature, electron number density and the dust radii. The applications of this work are pointed out in the laboratory and the astrophysical dense plasma systems.

Oblique waveguide instability in quantum plasmas

“…The equation (20), (22) depict the analytical growth rates of the oblique waveguide in quantum plasmas under various approximations. The analytical study is verified by numerical study presented through the graphical notation given from the pair figures.…”

“…In this case one may take electric field as negative gradient of an electrostatic potential for having zero associated induced magnetic field. So we get Bessel equation in terms of potential whose solution provides the dispersion relation with the assumption of oscillatory electric field decreasing radially outward from the axis to the surface of the cylinder where the surface potential vanishes [21,22]. In section 3 numerical work is plotted graphically to derive the conclusion.…”

“…Here equation ( 21) and (22) gives the phase speed and growth rate respectively for the second case.…”