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Title: Dust-acoustic Solitary Waves in Dusty Plasma with Non-thermal Ions

Abstract

In the present research paper, characteristics of dust-acoustic solitary waves in dusty plasma are studied. The dust charge is treated as variable. KdV equation has been derived using reductive perturbation method. The effect of relative number density, relative ion temperature, non-thermal parameter and variable charge has been numerically studied for possibility of both type of dust-acoustic solitary waves.

Authors:
;  [1];  [2]
  1. Department of Physics, Guru Nanak Dev University, Amritsar-143005 (India)
  2. Department of Physics, Khalsa College, Amritsar-143002 (India)
Publication Date:
OSTI Identifier:
20726811
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: 10.1063/1.2134660; (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; DENSITY; DUSTS; ION TEMPERATURE; IONS; KORTEWEG-DE VRIES EQUATION; NUMERICAL ANALYSIS; PERTURBATION THEORY; PLASMA; SOLITONS; SOUND WAVES

Citation Formats

Saini, Nareshpal Singh, Gill, Tarsem Singh, and Kaur, Harvinder. Dust-acoustic Solitary Waves in Dusty Plasma with Non-thermal Ions. United States: N. p., 2005. Web. doi:10.1063/1.2134660.
Saini, Nareshpal Singh, Gill, Tarsem Singh, & Kaur, Harvinder. Dust-acoustic Solitary Waves in Dusty Plasma with Non-thermal Ions. United States. doi:10.1063/1.2134660.
Saini, Nareshpal Singh, Gill, Tarsem Singh, and Kaur, Harvinder. Mon . "Dust-acoustic Solitary Waves in Dusty Plasma with Non-thermal Ions". United States. doi:10.1063/1.2134660.
@article{osti_20726811,
title = {Dust-acoustic Solitary Waves in Dusty Plasma with Non-thermal Ions},
author = {Saini, Nareshpal Singh and Gill, Tarsem Singh and Kaur, Harvinder},
abstractNote = {In the present research paper, characteristics of dust-acoustic solitary waves in dusty plasma are studied. The dust charge is treated as variable. KdV equation has been derived using reductive perturbation method. The effect of relative number density, relative ion temperature, non-thermal parameter and variable charge has been numerically studied for possibility of both type of dust-acoustic solitary waves.},
doi = {10.1063/1.2134660},
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}
}
  • Most studies on dusty plasmas have assumed that electrons and ions follow Maxwellian distributions. However, in the presence of energetic ions, the distribution of ions tends to be non-Maxwellian. It is shown here that the existence of non-thermal ions would increase the phase velocity of a dust-acoustic wave. It is also found that the change in the phase velocity profoundly affects the characteristics of a dust-acoustic solitary wave.
  • The effect of nonthermal ions and variable dust charge on small-amplitude nonlinear dust-acoustic (DA) waves is investigated. It is found that both compressive and rarefactive solitons exist and depend on the nonthermal parameter a. Using a reductive perturbation theory, a Zakharov-Kuznetsov (ZK) equation is derived. At critical value of a, a{sub c}, a modified ZK equation with third- and fourth-order nonlinearities, is obtained. Depending on a, the solution of the evolution equation reveals whether there is coexistence of both compressive and rarefactive solitary waves or double layers (DLs) with the possibility of their two kinds. In addition, for certain plasmamore » parameters, the solitary wave disappears and a DL is expected. The variation of dust charge number, wave velocity, and soliton amplitude and its width against system parameters is investigated for the DA solitary waves. It is shown that the incorporation of both the adiabatic dust-charge variation and the nonthermal distributed ions modifies significantly the nature of DA solitary waves and DA DLs. The findings of this investigation may be useful in understanding the ion acceleration mechanisms close to the Moon and also enhances our knowledge on pickup ions around unmagnetized bodies, such as comets, Mars, and Venus.« less
  • Simultaneous effects of dust charge fluctuation and nonthermal ions on the threshold point and growth rate of three-dimensional instability of dust-acoustic solitary waves (DASW) in magnetized dusty plasma have been investigated. In this model, dusty plasma consists of Maxwellian electrons, nonthermal ions, and micron size negatively charged dust particles. Modified Zakharov-Kuznetsov equation for DASW was derived employing a reductive perturbation method and its solitary answer under the influence of dust charge fluctuation and nonthermal ions has been studied. The dispersion relation of DASW has been derived using a small-k perturbation method. Results show that the direction and the magnitude ofmore » external magnetic field at which the instability takes place are strongly affected by the rate of dust charge fluctuation and nonthermality of ions. With increasing the number of nonthermal ions, the growth rate of instability decreases, while increasing the dust charge fluctuation increases the growth rate of instability.« less
  • Properties of small but finite amplitude dust ion-acoustic (DIA) solitary waves in a dusty plasma composed of inertialess electrons, positive and negative inertial ions, and immobile negative/positive charged dust grains are investigated. By using the multifluid dusty plasma model, the Kortweg-de Vries equation and energy integral for small and large amplitude solitary pulses, are derived. It is found that the presence of the negative ions modifies the properties of the solitary DIA waves, and provides the possibility of positive and negative solitary potential structures to coexist. The present results may be useful for understanding the salient features of localized DIAmore » excitations that may appear in data from forthcoming laboratory experiments and space observations.« less
  • The interaction between two dust-acoustic solitary waves (DASWs) in a three-dimensional magnetized dusty plasma has been investigated theoretically, using the extended Poincare-Lighthill-Kuo method. The analytical phase shifts after the interaction of the two solitary waves are derived. The effects of two types of isothermal ions, oblique collision of DASWs, the number densities of ions species to the density of charged dust grains ratio, the effective temperature of ions to the electron temperature ratio, and the adiabatic ratio of specific heats on the phase shifts are discussed. The results show that these parameters have strong effects on the phase shifts andmore » the trajectories of two DASWs after collision.« less