Waves in Magnetized Dusty Plasmas With Variable Charge on Dust Particles

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.

Section: Discussionsupporting

confidence: 53%

Section: Ion-acoustic Waves Isotropic Maxwellian Distributionsmentioning

confidence: 97%

See 1 more Smart Citation

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

Juli¹,

Schneide²,

Ziebell³

et al. 2009

“…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.…”

Section: Discussionmentioning

confidence: 99%

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

Ziebell¹,

Schneider²,

Juli³

et al. 2008

A kinetic approach to the problem of 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 as a starting point for the development of a new formulation, which writes the components of the dielectric tensor 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 were 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 Maxwellian distributions. The results obtained in a numerical analysis corroborate previous analysis, about the important role played by the inelastic collisions between electrons and ions and the dust particles, particularly on the imaginary part of the dispersion relation. The numerical analysis also show that additional terms in the components of the dielectric tensor, which are entirely due these inelastic collisions, play a very minor role in the case of electrostatic waves, under the conditions considered in the present analysis.

“…In the formulation utilized in the present paper, and in other studies available in the literature, the conventional dielectric tensor is utilized, modified by the presence of the dust. The need for the additional term, already demonstrated by theoretical analysis, [11,[17][18][19]27], has hitherto been ignored in the numerical analysis. Our results regarding the effect of this additional term are expected to appear in the near future.…”

Section: Discussionmentioning

confidence: 99%

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

Schneider¹,

Ziebell²,

Juli

et al. 2006

Self Cite

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.