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Title: New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas

Abstract

A generalized linear theory for electromagnetic waves in a homogeneous dusty magnetoplasma is presented. The waves described are characterized by a frequency which is much smaller (larger) than the electron gyrofrequency (dust plasma and dust gyrofrequencies), and a long wavelength (in comparison with the ion gyroradius and the electron skin depth). The generalized Hall-magnetohydrodynamic (GH-MHD) equations are derived by assuming massive charged dust macroparticles to be immobile, and Fourier transformed to obtain a general dispersion relation. The latter is analyzed to understand the influence of immobile charged dust grains on various electromagnetic wave modes in a magnetized dusty plasma.

Authors:
 [1];  [2];  [1];  [3]
  1. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
  2. (Sweden)
  3. Department of Physics, Umeaa University, SE-90187 Umeaa(Sweden)
Publication Date:
OSTI Identifier:
20726776
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 799; Journal Issue: 1; Conference: 4. international conference on the physics of dusty plasmas, Orleans (France), 13-17 Jun 2005; Other Information: DOI: 10.1063/1.2134627; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALFVEN WAVES; COMPARATIVE EVALUATIONS; DEPTH; DISPERSION RELATIONS; DUSTS; ELECTROMAGNETIC RADIATION; ELECTRONS; GYROFREQUENCY; IONS; MAGNETOHYDRODYNAMICS; PLASMA; WAVELENGTHS

Citation Formats

Shukla, Padma Kant, Department of Physics, Umeaa University, SE-90187 Umeaa, Kourakis, Ioannis, and Stenflo, Lennart. New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas. United States: N. p., 2005. Web. doi:10.1063/1.2134627.
Shukla, Padma Kant, Department of Physics, Umeaa University, SE-90187 Umeaa, Kourakis, Ioannis, & Stenflo, Lennart. New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas. United States. doi:10.1063/1.2134627.
Shukla, Padma Kant, Department of Physics, Umeaa University, SE-90187 Umeaa, Kourakis, Ioannis, and Stenflo, Lennart. Mon . "New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas". United States. doi:10.1063/1.2134627.
@article{osti_20726776,
title = {New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas},
author = {Shukla, Padma Kant and Department of Physics, Umeaa University, SE-90187 Umeaa and Kourakis, Ioannis and Stenflo, Lennart},
abstractNote = {A generalized linear theory for electromagnetic waves in a homogeneous dusty magnetoplasma is presented. The waves described are characterized by a frequency which is much smaller (larger) than the electron gyrofrequency (dust plasma and dust gyrofrequencies), and a long wavelength (in comparison with the ion gyroradius and the electron skin depth). The generalized Hall-magnetohydrodynamic (GH-MHD) equations are derived by assuming massive charged dust macroparticles to be immobile, and Fourier transformed to obtain a general dispersion relation. The latter is analyzed to understand the influence of immobile charged dust grains on various electromagnetic wave modes in a magnetized dusty plasma.},
doi = {10.1063/1.2134627},
journal = {AIP Conference Proceedings},
number = 1,
volume = 799,
place = {United States},
year = {Mon Oct 31 00:00:00 EST 2005},
month = {Mon Oct 31 00:00:00 EST 2005}
}
  • A compact dispersion relation for parametric instabilities of an electromagnetic pump wave is derived, taking into account the dust-particle dynamics and the {ital dust}-{ital grain} {ital charge} {ital fluctuations} caused by wave motions in unmagnetized dusty plasmas. Specific results for quasistationary modulational and filamentation instabilities are presented. It is found that thresholds of these instabilities are reduced in the presence of quasistationary plasma slow response involving charged dust grains. The present investigation should be useful in understanding the nonlinear propagation of intense electromagnetic waves through dusty space and laboratory plasmas. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {italmore » Physics}.« less
  • Dispersion properties of some low-frequency modes in magnetized dusty plasmas have been investigated theoretically, taking into account the dust size distribution. In contrast to earlier work on dispersion properties of different modes in magnetized dusty plasmas with a single dust size, it is assumed that the dust grains are distributed in size. Assuming that the dust size is given by a power law distribution, with a nonzero minimum and finite maximum grain size, the effect of dust size distribution on the dispersion properties of some electrostatic and electromagnetic modes in magnetized dusty plasmas is investigated. It is seen that inmore » the very low-frequency (VLF) regime, taking into account the size distribution leads to a new kind of damping for an electrostatic dust-cyclotron and right-handed circularly polarized (RCP) electromagnetic Alfv{acute e}n mode, whereas the left-handed circularly polarized (LCP) Alfv{acute e}n mode remains undamped. In the low-frequency (LF) regime, size distribution results only in the modification of the dispersion relations for all the modes. {copyright} {ital 1996 American Institute of Physics.}« less
  • A kinetic description is used to analyze wave propagation in dusty plasmas, taking into account the fluctuation of the charge of the dust particles due to inelastic collisions with electrons and ions. The case of propagation of waves exactly parallel to the external magnetic field and Maxwellian distributions for the electrons and ions in the equilibrium is considered, and a parametric analysis of the dispersion relation is performed. The investigation emphasizes particularly the effects of dust density, radius of dust particles, ion temperature, ratio between electron and ion temperatures, ion density, and ambient magnetic field, on the solutions of themore » dispersion relation. The analysis shows the possibility of occurrence of coupling between waves in the whistler branch and waves in the branch of circularly polarized waves, in the presence of the dust particles.« less
  • This paper studies the effects of the presence of dust particles with variable charge, in fully ionized, homogeneous, magnetized plasma of electrons and ions, with the electrons and ions described by bi-Maxwellian distributions in the equilibrium. The dispersion relation and the absorption rate are obtained for low frequency waves, with frequencies much lower than the ion cyclotron frequency. Two branches are obtained, identified as the whistler branch and the branch of circularly polarized waves, featuring damping due to the Landau damping process and to the collisional charging of the dust particles. The effects of the anisotropy of temperature on themore » damping rate of low frequency waves, and on the mode coupling which was demonstrated to occur in the isotropic situation, are numerically investigated. The results obtained show that in the anisotropic case the point of mode coupling is displaced to different values of dust density, and that a new point of mode coupling may appear from the effect of the temperature anisotropy.« less
  • A linear theory for intermediate-frequency [much smaller (larger) than the electron gyrofrequency (dust plasma and dust gyrofrequencies)], long wavelength (in comparison with the ion gyroradius and the electron skin depth) electromagnetic waves in a multicomponent, homogeneous electron-ion-dust magnetoplasma is presented. For this purpose, the generalized Hall-magnetohydrodynamic (GH-MHD) equations are derived for the case with immobile charged dust macroparticles. The GH-MHD equations in a quasineutral plasma consist of the ion continuity equation, the generalized ion momentum equation, and Faraday's law with the Hall term. The GH-MHD equations are Fourier transformed and combined to obtain a general dispersion relation. The latter ismore » analyzed to understand the influence of immobile charged dust grains on various electromagnetic wave modes in a magnetized dusty plasma.« less