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

Title: PIC simulation of compressive and rarefactive dust ion-acoustic solitary waves

Abstract

The nonlinear propagations of dust ion-acoustic solitary waves in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains have been investigated by the particle-in-cell method. By comparing the simulation results with those obtained from the traditional reductive perturbation method, it is observed that the rarefactive KdV solitons propagate stably at a low amplitude, and when the amplitude is increased, the prime wave form evolves and then gradually breaks into several small amplitude solitary waves near the tail of soliton structure. The compressive KdV solitons propagate unstably and oscillation arises near the tail of soliton structure. The finite amplitude rarefactive and compressive Gardner solitons seem to propagate stably.

Authors:
; ; ; ; ;  [1];  [2];  [1];  [2];  [2]
  1. College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070 (China)
  2. (China)
Publication Date:
OSTI Identifier:
22599906
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ANIONS; CATIONS; COMPARATIVE EVALUATIONS; DISTURBANCES; DUSTS; ELECTRONS; ION ACOUSTIC WAVES; NONLINEAR PROBLEMS; OSCILLATIONS; PARTICLES; PERTURBATION THEORY; PLASMA; SIMULATION; SOLITONS; WAVE FORMS

Citation Formats

Li, Zhong-Zheng, Zhang, Heng, Hong, Xue-Ren, Gao, Dong-Ning, Zhang, Jie, Duan, Wen-Shan, E-mail: duanws@nwnu.edu.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, Yang, Lei, E-mail: lyang@impcas.ac.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Department of Physics, Lanzhou University, Lanzhou 730000. PIC simulation of compressive and rarefactive dust ion-acoustic solitary waves. United States: N. p., 2016. Web. doi:10.1063/1.4960683.
Li, Zhong-Zheng, Zhang, Heng, Hong, Xue-Ren, Gao, Dong-Ning, Zhang, Jie, Duan, Wen-Shan, E-mail: duanws@nwnu.edu.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, Yang, Lei, E-mail: lyang@impcas.ac.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, & Department of Physics, Lanzhou University, Lanzhou 730000. PIC simulation of compressive and rarefactive dust ion-acoustic solitary waves. United States. doi:10.1063/1.4960683.
Li, Zhong-Zheng, Zhang, Heng, Hong, Xue-Ren, Gao, Dong-Ning, Zhang, Jie, Duan, Wen-Shan, E-mail: duanws@nwnu.edu.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, Yang, Lei, E-mail: lyang@impcas.ac.cn, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Department of Physics, Lanzhou University, Lanzhou 730000. Mon . "PIC simulation of compressive and rarefactive dust ion-acoustic solitary waves". United States. doi:10.1063/1.4960683.
@article{osti_22599906,
title = {PIC simulation of compressive and rarefactive dust ion-acoustic solitary waves},
author = {Li, Zhong-Zheng and Zhang, Heng and Hong, Xue-Ren and Gao, Dong-Ning and Zhang, Jie and Duan, Wen-Shan, E-mail: duanws@nwnu.edu.cn and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 and Yang, Lei, E-mail: lyang@impcas.ac.cn and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 and Department of Physics, Lanzhou University, Lanzhou 730000},
abstractNote = {The nonlinear propagations of dust ion-acoustic solitary waves in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains have been investigated by the particle-in-cell method. By comparing the simulation results with those obtained from the traditional reductive perturbation method, it is observed that the rarefactive KdV solitons propagate stably at a low amplitude, and when the amplitude is increased, the prime wave form evolves and then gradually breaks into several small amplitude solitary waves near the tail of soliton structure. The compressive KdV solitons propagate unstably and oscillation arises near the tail of soliton structure. The finite amplitude rarefactive and compressive Gardner solitons seem to propagate stably.},
doi = {10.1063/1.4960683},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}
  • The linear and nonlinear propagations of dust-ion-acoustic solitary waves (DIASWs) in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains have been investigated theoretically. The linear properties are analyzed by using the normal mode analysis and the reductive perturbation method is used to derive the nonlinear equations, namely, the Korteweg-de Vries (K-dV), the modified K-dV (mK-dV), and the Gardner equations. The basic features (viz., polarity, amplitude, width, etc.) of Gardner solitons (GS) are found to exist beyond the K-dV limit and these dust-ion-acoustic GS are qualitatively differentmore » from the K-dV and mK-dV solitons. It is observed that the basic features of DIASWs are affected by various plasma parameters (viz., electron nonextensivity, negative-to-positive ion number density ratio, electron-to-positive ion number density ratio, electron-to-positive ion temperature ratio, etc.) of the considered plasma system. The findings of our results obtained from this theoretical investigation may be useful in understanding the nonlinear structures and the characteristics of DIASWs propagating in both space and laboratory plasmas.« less
  • An exact analytical form of Sagdeev pseudopotential has been derived for a two electron temperature warm ion plasma, from which ion acoustic rarefactive solitary wave solutions could be investigated for a wide range of different plasma parameters, viz., ion temperature ({sigma}), cold to hot electron temperature ratio ({beta}), and initial cold electron concentration ({mu}). Explicitly large Mach numbers have been obtained for increasing hot to cold electron temperature ratios, and an analytical condition for the upper bound of the Mach number has been derived for such a rarefactive solitary wave. It is found that the width of these waves obeymore » Korteweg{endash}de Vries soliton-type behavior only for small amplitudes (i.e., {ital e}{phi}/{ital T}{sub eff}{lt}1) while for large amplitudes, the width of the rarefactive solitary waves increases with increasing amplitude. {copyright} {ital 1996 American Institute of Physics.}« less
  • Anomalous width{endash}amplitude variations were observed in large amplitude rarefactive solitary waves which show increasing width with increasing amplitude, contrasting the usual reciprocal relation between the square of the width and the amplitude, beyond a certain value of the plasma parameters [S. S. Ghosh, K. K. Ghosh, and A. N. Sekar Iyengar, Phys. Plasmas, {bold 3}, 3939 (1996)]. For the limiting maximum amplitude, the {open_quotes}increasing width{close_quotes} solitary wave tends to a double layer-like solution. The overall variation was found to depend crucially on the specific parameter space. From a detailed investigation of the above behavior, a plausible physical explanation has beenmore » presented for such increases in the width. It is found that the ions{close_quote} initial kinetic energies and the cold electron concentration within the perturbed region play a significant role in determining the observed width{endash}amplitude variation. This contradicts the investigation of Sayal, Yadav, and Sharma [Phys. Scr. {bold 47}, 576 (1993)]. {copyright} {ital 1997 American Institute of Physics.}« less
  • The propagation characteristics of rarefactive ion acoustic solitary waves in dusty plasma containing negative ions has been observed experimentally. It was found that, in the present dusty plasma condition, applied rarefactive (negative) voltage pulse cannot break into rarefactive solitons until a sufficient concentration of negative ions is introduced into the dusty plasma. The velocity of rarefactive solitary wave in multicomponent plasma with negative ions is greater than that in the presence of negatively charged dust. The velocity and width of the solitary waves are measured and compared with numerical results of the Korteweg-de Vries Burgers equation.
  • Using a Sagdeev pseudopotential formalism where nonlinear structures are stationary in a comoving frame, large ion-acoustic solitary waves and double layers have been studied in plasmas with positive ions and nonthermal electrons. The velocity range of positive, compressive solitary waves is limited by the ion density reaching infinite compression, whereas negative, rarefactive solitary waves and double layers can exist when the electron nonthermality exceeds a certain minimum. There are even regions of coexistence, the limits of which can be elucidated by considering the properties of the special Sagdeev pseudopotential at the acoustic speed. In particular, when the compositional parameters andmore » Mach numbers admit only compressive or rarefactive solitary structures, these have to be superacoustic, their amplitude vanishing at the acoustic speed. When both compressive and rarefactive modes can occur, one of them is Korteweg-de Vries (KdV)-like, the other having a non-KdV character, with a finite amplitude at the acoustic speed.« less