Electrostatic waves in a Maxwellian dusty plasma with variable charge on dust particles

Abstract

A kinetic formulation developed to analyze wave propagation in dusty plasmas, which takes into account the variation of the charge of the dust particles due to inelastic collisions with electrons and ions, is utilized to study the propagation and damping of electrostatic waves with wave number exactly parallel to the external magnetic field and Maxwellian distributions for the electrons and ions in the equilibrium. It is shown that, due to the presence of the dust, the damping of Langmuir waves in the region of large wavelengths is increased as compared to conventional Landau damping. Langmuir waves in the occurrence of collisional charging of dust particles also feature weak damping for small wavelengths, which vanishes if the effect of collisional charging of the dust particles is neglected in the dispersion relation. It is also shown that the damping of ion-acoustic waves is modified by the presence of the dust, and that some damping effect due to the dust particles remains even if the effect of collisional charging of dust particles is neglected in the dispersion relation.

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

“…The study expands previous analyses in which the case of Langmuir waves and isotropic Maxwellian distributions has been considered [9]. To our knowledge, this is one of the first instances of numerical analysis including the effect of the 'new' contribution, which usually only appears in formal analysis of wave propagation in dusty plasmas [4,15,16,[19][20][21]. For this investigation we have considered parameters which are in the range of parameters typical of stellar winds, and the results obtained have shown that the contribution of the 'new' components is very small compared to the 'conventional' contribution.…”

A new formulation for the dielectric tensor for magnetized dusty plasmas with variable charge on the dust particles

“…We have made a numerical investigation comparing the magnitudes of the 'conventional' and of the 'new' contributions to the dispersion relation, for frequencies in the range of the Langmuir waves and for frequencies in the range of the ion-sound waves. To our knowledge, it is the first instance of numerical analysis of the effect of the 'new' contribution, which has hitherto only appeared in formal analysis of wave propagation in dusty plasmas [7,10,14,[21][22][23]. For this investigation we have considered parameters which are in the range of parameters typical of stellar winds, and the results obtained have shown that the contribution of the 'new' components is very small compared to the 'conventional' contribution.…”

“…The same basic kinetic formulation has also been used to the study of electrostatic waves in dusty plasmas [14]. In this kinetic formulation, the components of the dielectric tensor depend on the frequency of inelastic collisions of plasma electrons and ions with the dust particles.…”

“…Particularly, as shown in an appendix appearing at the end of Ref. [14], the general expressions for the dielectric tensor appearing in the kinetic formulation which we have been using can be cast in the form which appears in a series of papers of Tsytovich et al [6,15,16], if restrictive assumptions are made.…”

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.…”