Electromagnetic waves and instabilities in a non-degenerate quantum dusty plasma

Abstract

In this paper, we have investigated the effects of Bohm potential on the low frequency wave propagation in a dense non-degenerate dusty magnetoplasma. We have employed two potential theory to study the quantum modification of kinetic Alfvén wave on a dust acoustic velocity branch. The linear dispersion relation and growth rate of instability of dust kinetic Alfvén wave are obtained by incorporating Bohm quantum potential in the linearized Vlasov model. It is found that unlike in classical plasma, the presence of CQ which arises through the Bohm potential, tends to enhance the dispersion of the particles, while the growth rates are suppressed. The importance and relevance to compact astrophysical objects and space dusty plasma environments is also pointed out.