skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nonlinearly coupled whistlers and dust-acoustic perturbations in dusty plasmas

Abstract

The nonlinear interaction between magnetic-field-aligned coherent whistlers and dust-acoustic perturbations (DAPs) in a magnetized dusty plasma is considered. The interaction is governed by a pair of equations consisting of a nonlinear Schroedinger equation for the modulated whistler wave packet and an equation for the nonresonant DAPs in the presence of the ponderomotive force generated by the whistlers. The coupled equations are employed to investigate the occurrence of modulational instability, in addition to the formation of whistler envelope solitons. This investigation is relevant to amplitude modulated electron whistlers in magnetized space dusty plasmas.

Authors:
; ; ;  [1];  [2];  [3]
  1. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
  2. (Israel)
  3. (Germany)
Publication Date:
OSTI Identifier:
20782416
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 12; Journal Issue: 12; Other Information: DOI: 10.1063/1.2142248; (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; AMPLITUDES; DISTURBANCES; DUSTS; ELECTRONS; ION ACOUSTIC WAVES; MAGNETIC FIELDS; NONLINEAR PROBLEMS; PLASMA; PLASMA INSTABILITY; PONDEROMOTIVE FORCE; SCHROEDINGER EQUATION; SOLITONS; WAVE PACKETS; WHISTLERS

Citation Formats

Shukla, P.K., Mond, M., Kourakis, I., Eliasson, B., Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Tel Aviv, and Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum. Nonlinearly coupled whistlers and dust-acoustic perturbations in dusty plasmas. United States: N. p., 2005. Web. doi:10.1063/1.2142248.
Shukla, P.K., Mond, M., Kourakis, I., Eliasson, B., Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Tel Aviv, & Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum. Nonlinearly coupled whistlers and dust-acoustic perturbations in dusty plasmas. United States. doi:10.1063/1.2142248.
Shukla, P.K., Mond, M., Kourakis, I., Eliasson, B., Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Tel Aviv, and Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum. Thu . "Nonlinearly coupled whistlers and dust-acoustic perturbations in dusty plasmas". United States. doi:10.1063/1.2142248.
@article{osti_20782416,
title = {Nonlinearly coupled whistlers and dust-acoustic perturbations in dusty plasmas},
author = {Shukla, P.K. and Mond, M. and Kourakis, I. and Eliasson, B. and Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Tel Aviv and Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum},
abstractNote = {The nonlinear interaction between magnetic-field-aligned coherent whistlers and dust-acoustic perturbations (DAPs) in a magnetized dusty plasma is considered. The interaction is governed by a pair of equations consisting of a nonlinear Schroedinger equation for the modulated whistler wave packet and an equation for the nonresonant DAPs in the presence of the ponderomotive force generated by the whistlers. The coupled equations are employed to investigate the occurrence of modulational instability, in addition to the formation of whistler envelope solitons. This investigation is relevant to amplitude modulated electron whistlers in magnetized space dusty plasmas.},
doi = {10.1063/1.2142248},
journal = {Physics of Plasmas},
number = 12,
volume = 12,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}
  • The nonlinear quantum dust acoustic waves with effects of nonplanar cylindrical geometry, quantum corrections, and transverse perturbations are studied. By using the perturbation method, a cylindrical Kadomtsev-Petviashvili equation for dust acoustic waves is derived by incorporating quantum-mechanical effects. The quantum-mechanical effects via quantum diffraction and quantum statistics, and the role of transverse perturbations in cylindrical geometry on the dynamics of this wave, are studied both analytically and numerically.
  • Dust grains, or solid particles of {mu}m to sub-{mu}m sizes, are observed in various low-temperature laboratory plasmas such as process plasmas and dust plasma crystals. The massive dust grains are generally highly charged, and it has been shown within the context of standard plasma theory that their presence can lead to new low-frequency modes such as dust acoustic waves. In certain laboratory plasmas, however, the dust may be strongly coupled, as characterized by the condition {Gamma}{sub d}=Q{sub d}{sup 2}exp({minus}d/{lambda}{sub D})/dT{sub d}{ge}1, where Q{sub d} is the dust charge, d is the intergrain spacing, T{sub d} is the dust thermal energy,more » and {lambda}{sub D} is the plasma screening length. This paper investigates the dispersion relation for dust acoustic waves in a strongly coupled dusty plasma comprised of strongly coupled negatively charged dust grains, and weakly correlated classical ions and electrons. The dust grains are assumed to interact via a (screened Coulomb) Yukawa potential. The strongly coupled gas phase (liquid phase) is considered, and a quasilocalized charge approximation scheme is used, generalized to take into account electron and/or ion screening of the dust grains. The scheme relates the small-k dispersion to the total correlation energy of the system, which is obtained from the results of published numerical simulations. Some effects of collisions of charged particles with neutrals are taken into account. Applications to laboratory dusty plasmas are discussed. {copyright} {ital 1997} {ital The American Physical Society}« less
  • A theoretical investigation is carried out to study the propagation and the head-on collision of dust-acoustic (DA) shock waves in a strongly coupled dusty plasma consisting of negative dust fluid, Maxwellian distributed electrons and ions. Applying the extended Poincaré–Lighthill–Kuo method, a couple of Korteweg–deVries–Burgers equations for describing DA shock waves are derived. This study is a first attempt to deduce the analytical phase shifts of DA shock waves after collision. The impacts of physical parameters such as the kinematic viscosity, the unperturbed electron-to-dust density ratio, parameter determining the effect of polarization force, the ion-to-electron temperature ratio, and the effective dustmore » temperature-to-ion temperature ratio on the structure and the collision of DA shock waves are examined. In addition, the results reveal the increase of the strength and the steepness of DA shock waves as the above mentioned parameters increase, which in turn leads to the increase of the phase shifts of DA shock waves after collision. The present model may be useful to describe the structure and the collision of DA shock waves in space and laboratory dusty plasmas.« less
  • The dispersion relations for dust-ion-acoustic and dust-acoustic waves are obtained, taking into account boundary and collisional effects in unmagnetized dusty plasma waveguides. The relevance of this investigation to low-temperature laboratory dusty plasmas is discussed. {copyright} {ital 1999 American Institute of Physics.}
  • The dissipation caused by fluid viscosity is investigated for unmagnified dusty plasma with two-temperature ions in a spherical geometry. Analytical investigation shows that the propagation of a small-amplitude wave is governed by the spherical Kadomtsev-Petviashvili-Burgers equation. The shock wave solutions for dust-acoustic shock waves with two types of charged dust grains, that is, constant charged dust grains and adiabatic variable charged dust grains, are studied. The effects caused by dissipation and transverse perturbations are also discussed.