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Title: Mode-coupling of low-frequency electromagnetic waves in dusty plasmas with temperature anisotropy

Abstract

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 the 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.

Authors:
; ; ;  [1];  [2];  [2]
  1. Centro de Radio-Astronomia e Astrofisica Mackenzie, CRAAM, Universidade Presbiteriana Mackenzie, Rua da Consolacao 896, CEP: 01302-907, Sao Paulo, SP (Brazil)
  2. (Brazil)
Publication Date:
OSTI Identifier:
20974819
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 2; Other Information: DOI: 10.1063/1.2435704; (c) 2007 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; ABSORPTION; ANISOTROPY; COLLISIONS; CYCLOTRON FREQUENCY; DISPERSION RELATIONS; ELECTRON TEMPERATURE; ELECTRONS; ION TEMPERATURE; IONS; LANDAU DAMPING; PARTICLES; PLASMA; PLASMA DENSITY; WHISTLERS

Citation Formats

Juli, M. C. de, Schneider, R. S., Ziebell, L. F., Gaelzer, R., Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP: 91501-970, Porto Alegre, RS, and Instituto de Fisica e Matematica, Universidade Federal de Pelotas, Caixa Postal 354, Campus UFPel, CEP: 96010-900, Pelotas, RS. Mode-coupling of low-frequency electromagnetic waves in dusty plasmas with temperature anisotropy. United States: N. p., 2007. Web. doi:10.1063/1.2435704.
Juli, M. C. de, Schneider, R. S., Ziebell, L. F., Gaelzer, R., Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP: 91501-970, Porto Alegre, RS, & Instituto de Fisica e Matematica, Universidade Federal de Pelotas, Caixa Postal 354, Campus UFPel, CEP: 96010-900, Pelotas, RS. Mode-coupling of low-frequency electromagnetic waves in dusty plasmas with temperature anisotropy. United States. doi:10.1063/1.2435704.
Juli, M. C. de, Schneider, R. S., Ziebell, L. F., Gaelzer, R., Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP: 91501-970, Porto Alegre, RS, and Instituto de Fisica e Matematica, Universidade Federal de Pelotas, Caixa Postal 354, Campus UFPel, CEP: 96010-900, Pelotas, RS. Thu . "Mode-coupling of low-frequency electromagnetic waves in dusty plasmas with temperature anisotropy". United States. doi:10.1063/1.2435704.
@article{osti_20974819,
title = {Mode-coupling of low-frequency electromagnetic waves in dusty plasmas with temperature anisotropy},
author = {Juli, M. C. de and Schneider, R. S. and Ziebell, L. F. and Gaelzer, R. and Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP: 91501-970, Porto Alegre, RS and Instituto de Fisica e Matematica, Universidade Federal de Pelotas, Caixa Postal 354, Campus UFPel, CEP: 96010-900, Pelotas, RS},
abstractNote = {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 the 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.},
doi = {10.1063/1.2435704},
journal = {Physics of Plasmas},
number = 2,
volume = 14,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • 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
  • Using a kinetic description to analyze wave propagation in dusty plasmas, taking into account the fluctuation of the charge of the dust particles due to inellastic collisions with electrons and ions, we consider the case of propagation of waves exactly parallel to the external magnetic field and Maxwellian distributions for the electrons and ions in the equilibrium, and investigate the phenomena of mode coupling which may occur due to the presence of the dust.
  • 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.
  • 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 model is derived for the propagation of low-frequency waves in a dusty plasma containing very heavy dust particles, when the self-gravitational interaction due to these grains is included in the analysis. Analytical expressions for the dispersion function are used to examine the instability and damping of the modes. The stability regions of low-frequency waves are compared in the kinetic and the analogous hydrodynamic models, showing that there are only slight differences. However, the kinetic analysis modifies the growth rates of the Jeans instability and can considerably alter the conditions for the propagation of stable dust modes.