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

Title: Dust acoustic solitary and shock excitations in a Thomas-Fermi magnetoplasma

Abstract

The linear and nonlinear properties of dust-acoustic waves are investigated in a collisionless Thomas-Fermi magnetoplasma, whose constituents are electrons, ions, and negatively charged dust particles. At dust time scale, the electron and ion number densities follow the Thomas-Fermi distribution, whereas the dust component is described by the classical fluid equations. A linear dispersion relation is analyzed to show that the wave frequencies associated with the upper and lower modes are enhanced with the variation of dust concentration. The effect of the latter is seen more strongly on the upper mode as compared to the lower mode. For nonlinear analysis, we obtain magnetized Korteweg-de Vries (KdV) and Zakharov-Kuznetsov (ZK) equations involving the dust-acoustic solitary waves in the framework of reductive perturbation technique. Furthermore, the shock wave excitations are also studied by allowing dissipation effects in the model, leading to the Korteweg-de Vries-Burgers (KdVB) and ZKB equations. The analysis reveals that the dust-acoustic solitary and shock excitations in a Thomas-Fermi plasma are strongly influenced by the plasma parameters, e.g., dust concentration, dust temperature, obliqueness, magnetic field strength, and dust fluid viscosity. The present results should be important for understanding the solitary and shock excitations in the environments of white dwarfs or supernova,more » where dust particles can exist.« less

Authors:
;  [1];  [2];  [3]
  1. Institute of Physics and Electronics, University of Peshawar, Peshawar 25000 (Pakistan)
  2. (NCP) at QAU Campus, Shahdra Valley Road, Islamabad 44000 (Pakistan)
  3. National Center for Physics (NCP) at QAU Campus, Shahdra Valley Road, Islamabad 44000 (Pakistan)
Publication Date:
OSTI Identifier:
22304082
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CONCENTRATION RATIO; DISPERSION RELATIONS; DUSTS; EQUATIONS; EXCITATION; MAGNETIC FIELDS; NONLINEAR PROBLEMS; PERTURBATION THEORY; SHOCK WAVES; SOUND WAVES; THOMAS-FERMI MODEL; WHITE DWARF STARS

Citation Formats

Rahim, Z., Qamar, A., National Center for Physics, and Ali, S.. Dust acoustic solitary and shock excitations in a Thomas-Fermi magnetoplasma. United States: N. p., 2014. Web. doi:10.1063/1.4886999.
Rahim, Z., Qamar, A., National Center for Physics, & Ali, S.. Dust acoustic solitary and shock excitations in a Thomas-Fermi magnetoplasma. United States. doi:10.1063/1.4886999.
Rahim, Z., Qamar, A., National Center for Physics, and Ali, S.. Tue . "Dust acoustic solitary and shock excitations in a Thomas-Fermi magnetoplasma". United States. doi:10.1063/1.4886999.
@article{osti_22304082,
title = {Dust acoustic solitary and shock excitations in a Thomas-Fermi magnetoplasma},
author = {Rahim, Z. and Qamar, A. and National Center for Physics and Ali, S.},
abstractNote = {The linear and nonlinear properties of dust-acoustic waves are investigated in a collisionless Thomas-Fermi magnetoplasma, whose constituents are electrons, ions, and negatively charged dust particles. At dust time scale, the electron and ion number densities follow the Thomas-Fermi distribution, whereas the dust component is described by the classical fluid equations. A linear dispersion relation is analyzed to show that the wave frequencies associated with the upper and lower modes are enhanced with the variation of dust concentration. The effect of the latter is seen more strongly on the upper mode as compared to the lower mode. For nonlinear analysis, we obtain magnetized Korteweg-de Vries (KdV) and Zakharov-Kuznetsov (ZK) equations involving the dust-acoustic solitary waves in the framework of reductive perturbation technique. Furthermore, the shock wave excitations are also studied by allowing dissipation effects in the model, leading to the Korteweg-de Vries-Burgers (KdVB) and ZKB equations. The analysis reveals that the dust-acoustic solitary and shock excitations in a Thomas-Fermi plasma are strongly influenced by the plasma parameters, e.g., dust concentration, dust temperature, obliqueness, magnetic field strength, and dust fluid viscosity. The present results should be important for understanding the solitary and shock excitations in the environments of white dwarfs or supernova, where dust particles can exist.},
doi = {10.1063/1.4886999},
journal = {Physics of Plasmas},
number = 7,
volume = 21,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}