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Title: Nonplanar dust-acoustic shock waves for two-temperature ions in dusty plasma with dissipative effects and transverse perturbations

Abstract

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.

Authors:
;  [1];  [2]
  1. Institute of Nonlinear Physics, Zhejiang normal University, Jinhua 321004, Zhejiang (China) and CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
  2. (China)
Publication Date:
OSTI Identifier:
20782495
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 2; Other Information: DOI: 10.1063/1.2167913; (c) 2006 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; CHARGED-PARTICLE TRANSPORT; DISTURBANCES; DUSTS; ELECTRON TEMPERATURE; FLUIDS; GEOMETRY; ION TEMPERATURE; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PLASMA; SHOCK WAVES; SPHERICAL CONFIGURATION; VISCOSITY

Citation Formats

Zhang Jiefang, Wang Yueyue, and Institute of Nonlinear Physics, Zhejiang normal University, Jinhua 321004. Nonplanar dust-acoustic shock waves for two-temperature ions in dusty plasma with dissipative effects and transverse perturbations. United States: N. p., 2006. Web. doi:10.1063/1.2167913.
Zhang Jiefang, Wang Yueyue, & Institute of Nonlinear Physics, Zhejiang normal University, Jinhua 321004. Nonplanar dust-acoustic shock waves for two-temperature ions in dusty plasma with dissipative effects and transverse perturbations. United States. doi:10.1063/1.2167913.
Zhang Jiefang, Wang Yueyue, and Institute of Nonlinear Physics, Zhejiang normal University, Jinhua 321004. Wed . "Nonplanar dust-acoustic shock waves for two-temperature ions in dusty plasma with dissipative effects and transverse perturbations". United States. doi:10.1063/1.2167913.
@article{osti_20782495,
title = {Nonplanar dust-acoustic shock waves for two-temperature ions in dusty plasma with dissipative effects and transverse perturbations},
author = {Zhang Jiefang and Wang Yueyue and Institute of Nonlinear Physics, Zhejiang normal University, Jinhua 321004},
abstractNote = {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.},
doi = {10.1063/1.2167913},
journal = {Physics of Plasmas},
number = 2,
volume = 13,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
  • A cylindrical Kadomstev-Petviashvili equation is derived in cylindrical geometry for dust acoustic waves in dusty plasmas consisting of positive ions, negative ions, and adiabatic variable charged dust grains. The effects of negative ions on the dust charge number and dust temperature, as well as the solitonic structures, such as the Nebulon and W-shape soliton, etc., have been investigated. It has also been found that the effect of transverse perturbations is the main factor that determines the formation of the Nebulon.
  • A strongly coupled dusty plasma containing strongly correlated negatively charged dust grains and weakly correlated (Maxwellian) electrons and ions has been considered. The effects of polarization force (which arises due to the interaction between thermal ions and highly negatively charged dust grains) and effective dust temperature (which arises from the electrostatic interactions among highly negatively charged dust and from the dust thermal pressure) on the dust-acoustic (DA) solitary and shock waves propagating in such a strongly coupled dusty plasma are taken into account. The DA solitary and shock waves are found to exist with negative potential only. It has beenmore » shown that the strong correlation among the charged dust grains is a source of dissipation and is responsible for the formation of the DA shock waves. It has also been shown that the effects of polarization force and effective dust-temperature significantly modify the basic features (e.g., amplitude, width, and speed) of the DA solitary and shock waves. It has been suggested that a laboratory experiment be performed to test the theory presented in this work.« less
  • The effect of two-temperature nonthermal ions and variable dust charge on small-amplitude nonlinear dust-acoustic waves (DAW) is investigated. By using the reductive perturbation technique, the three-dimensional nonlinear Schroedinger equation (3D-NLSE) is first derived. The modulational instability of DAW in the magnetized dusty plasma is investigated as well. Meanwhile, some new and important stability regions are given. The effect of the nonthermal parameter a is shown to play a significant role in the determination of the normalized dust charge. Further, setting this parameter to zero degenerates the system into one in the magnetized dusty plasma consisting of the isothermal ions.
  • No abstract prepared.
  • The nonplanar amplitude modulation of dust acoustic (DA) envelope solitary waves in a strongly coupled dusty plasma (SCDP) has been investigated. By using a reductive perturbation technique, a modified nonlinear Schr√∂dinger equation (NLSE) including the effects of geometry, polarization, and ion superthermality is derived. The modulational instability (MI) of the nonlinear DA wave envelopes is investigated in both planar and nonplanar geometries. There are two stable regions for the DA wave propagation strongly affected by polarization and ion superthermality. Moreover, it is found that the nonlinear DA waves in spherical geometry are the more structurally stable. The larger growth ratemore » of the nonlinear DA MI is observed in the cylindrical geometry. The salient characteristics of the MI in the nonplanar geometries cannot be found in the planar one. The DA wave propagation and the NLSE solutions are investigated both analytically and numerically.« less