Quantum kinetic dust acoustic waves in arbitrary degenerate quantum dusty plasma

Abstract

Using kinetic formulation with a quantum plasma dynamic approach, dust acoustic waves (DAWs) in three component non-relativistic, isotropic, unmagnetized, and collisionless quantum dusty plasma are analytically analyzed. Electrons are considered as quantum mechanical, following the Fermi–Dirac distribution, while ions and dust are considered as classical, obeying Maxwell–Boltzmann statistics. The longitudinal response function, in terms of susceptibility tensors, is derived and divided into two parts, i.e., dispersion relation (real part) and Landau damping (imaginary part). The dispersion relations and Landau damping rates are analyzed with the effect of the arbitrary degree of temperature degeneracy and quantum recoil. Two cases of the DAWs are discussed regarding the arbitrary degeneracy, which are nearly non-degenerate and nearly degenerate quantum plasmas. The dispersion relations and Landau damping rates for DAWs in both cases are examined analytically and numerically, using the data of semiconductor quantum wells and dense astrophysical plasmas.