Effects of dust charge variation on electrostatic waves in dusty plasmas with temperature anisotropy

Abstract

We utilize a kinetic approach to the problem of wave propagation in dusty plasmas, taking into account the variation of the charge of the dust particles due to inelastic collisions with electrons and ions. The components of the dielectric tensor are written in terms of a finite and an infinite series, containing all effects of harmonics and Larmor radius. The formulation is quite general and valid for the whole range of frequencies above the plasma frequency of the dust particles, which are assumed motionless. The formulation is employed to the study of electrostatic waves propagating along the direction of the ambient magnetic field, in the case for which ions and electrons are described by bi-Maxwellian distributions. The results obtained in a numerical analysis corroborate previous analysis, about the important role played by the dust charge variation, particularly on the imaginary part of the dispersion relation, and about the very minor role played in the case of electrostatic waves by some additional terms appearing in the components of the dielectric tensor, which are entirely due to the occurrence of the dust charge variation.

The Dielectric Tensor for Magnetized Dusty Plasmas with Superthermal Plasma Populations and Dust Particles of Different Sizes

“…Some examples are an early paper by Rosenberg [36], which contains a study of instabilities of ion-acoustic waves produced by current in a fully ionized collisionless dusty plasma, without taking into account the effect of variations of the dust charge, a more recent investigation of the effect of dust-charge variation on high-frequency electrostatic plasma waves [37], and several studies on low-frequency electromagnetic waves [38][39][40][41][42][43] and on electrostatic waves in dusty plasmas [44][45][46] in which some of us have been engaged, which also take into account the effect of dust-charge variation, incorporating the dependence on the frequency of inelastic collisions of plasma electrons and ions with the dust particles into the components of the dielectric tensor. It may be added that the kinetic formulation employed in Refs.…”

“…It may be added that the kinetic formulation employed in Refs. [38,46] can be connected to another formulation which can be found in the literature [34,47,48], under some restrictive assumptions [44].…”