Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas

doi:10.1063/1.4894478

Title: Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas

Full Record
Other Related Research

Abstract

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 dust 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.

Authors:

EL-Shamy, E. F., E-mail: emadel-shamy@hotmail.com ^[1]; Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha ^[2]; Al-Asbali, A. M., E-mail: aliaa-ma@hotmail.com ^[3]

Department of physics, Faculty of Science, Damietta University, New Damietta 34517 (Egypt)
(Saudi Arabia)
Department of Physics, College of Science for Girls in Abha, King Khalid University, Abha, P.O. 960 (Saudi Arabia)

Publication Date:: Mon Sep 15 00:00:00 EDT 2014

OSTI Identifier:: 22303668

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONS; ELECTRON TEMPERATURE; ELECTRONS; PHASE SHIFT; PLASMA; SHOCK WAVES

Citation Formats


                    EL-Shamy, E. F., E-mail: emadel-shamy@hotmail.com, Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, and Al-Asbali, A. M., E-mail: aliaa-ma@hotmail.com. Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4894478.

Copy to clipboard


                    EL-Shamy, E. F., E-mail: emadel-shamy@hotmail.com, Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, & Al-Asbali, A. M., E-mail: aliaa-ma@hotmail.com. Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas.  United States.  https://doi.org/10.1063/1.4894478

Copy to clipboard


                    EL-Shamy, E. F., E-mail: emadel-shamy@hotmail.com, Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, and Al-Asbali, A. M., E-mail: aliaa-ma@hotmail.com. 2014.  
        "Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas".  United States.  https://doi.org/10.1063/1.4894478.

Copy to clipboard


                    
@article{osti_22303668,

  title        = {Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas},

  author       = {EL-Shamy, E. F., E-mail: emadel-shamy@hotmail.com and Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha and Al-Asbali, A. M., E-mail: aliaa-ma@hotmail.com},

  abstractNote = {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 dust 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.},

  doi          = {10.1063/1.4894478},

  url          = {https://www.osti.gov/biblio/22303668},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 9,

  volume       = 21,

  place        = {United States},

  year         = {Mon Sep 15 00:00:00 EDT 2014},

  month        = {Mon Sep 15 00:00:00 EDT 2014}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1063/1.4894478

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Head-on-collision of modulated dust acoustic waves in strongly coupled dusty plasma

Journal Article El-Labany, S; El-Depsy, A; Zedan, N; ... - Physics of Plasmas

The derivative expansion perturbation method is applied to a strongly coupled dusty plasma system consisting of negatively charged dust grains, electrons, and ions. The basic equations are reduced to a nonlinear Schroedinger type equation appropriate for describing the modulated dust acoustic (DA) waves. We have examined the modulation (in) stability and the dependence of the system physical parameters (angular frequency and group velocity) on the polarization force variation. Finally, the extended Poincare-Lighthill-Kuo technique is employed to investigate the head-on collision (HoC) between two DA dark solitons. The analytical phase shifts and the trajectories of these dark solitons after the collisionmore »« less
https://doi.org/10.1063/1.4762847
Propagation and oblique collision of ion-acoustic solitary waves in a magnetized dusty electronegative plasma

Journal Article El-Labany, S.; Behery, E.; El-Shamy, E. - Physics of Plasmas

The propagation and oblique collision of ion-acoustic (IA) solitary waves in a magnetized dusty electronegative plasma consisting of cold mobile positive ions, Boltzmann negative ions, Boltzmann electrons, and stationary positive/negative dust particles are studied. The extended Poincaré-Lighthill-Kuo perturbation method is employed to derive the Korteweg-de Vries equations and the corresponding expressions for the phase shifts after collision between two IA solitary waves. It turns out that the angle of collision, the temperature and density of negative ions, and the dust density of opposite polarity have reasonable effects on the phase shift. Clearly, the numerical results demonstrated that the IA solitarymore »« less
https://doi.org/10.1063/1.4853555
Collisional phase shifts between two colliding solitary waves in a three-dimensional magnetized dusty plasma

Journal Article Guizhen, Liang; Jiuning, Han; Maimai, Lin; ... - Physics of Plasmas

Interaction of dust acoustic solitary waves in two different directions in a three-dimensional dusty plasma is investigated. The phase shifts after collision of two solitary waves with arbitrary angle in a three-dimensional magnetized dusty plasma are studied. By using the extended Poincare-Lighthill-Kuo perturbation method, two Korteweg-de Vries equations for nonlinear waves in both {xi} and {eta} directions are obtained. The effects of the collision angle {theta}, the ratio of dust temperature to ion temperature {sigma}, the ratio of ion temperature to electron temperature {beta}, the ratio of effective temperature to ion temperature s, and the ratio of the number densitiesmore »« less
https://doi.org/10.1063/1.3184822
Nonlinear structures of the Korteweg-de Vries and modified Korteweg-de Vries equations in non-Maxwellian electron-positron-ion plasma: Solitons collision and rogue waves

Journal Article

Solitons (small-amplitude long-lived waves) collision and rogue waves (large-amplitude short-lived waves) in non-Maxwellian electron-positron-ion plasma have been investigated. For the solitons collision, the extended Poincaré-Lighthill-Kuo perturbation method is used to derive the coupled Korteweg-de Vries (KdV) equations with the quadratic nonlinearities and their corresponding phase shifts. The calculations reveal that both positive and negative polarity solitons can propagate in the present model. At critical value of plasma parameters, the coefficients of the quadratic nonlinearities disappear. Therefore, the coupled modified KdV (mKdV) equations with cubic nonlinearities and their corresponding phase shifts have been derived. The effects of the electron-to-positron temperature ratio,more »« less
https://doi.org/10.1063/1.4879815
Theoretical study of head-on collision of dust acoustic solitary waves in a strongly coupled complex plasma

Journal Article Bandyopadhyay, P.; Sen, A. - Physics of Plasmas

We investigate the propagation characteristics of two counter propagating dust acoustic solitary waves (DASWs) undergoing a head-on collision, in the presence of strong coupling between micron sized charged dust particles in a complex plasma. A coupled set of nonlinear dynamical equations describing the evolution of the two DASWs using the extended Poincaré-Lighthill-Kuo perturbation technique is derived. The nature and extent of post collision phase-shifts of these solitary waves are studied over a wide range of dusty plasma parameters in a strongly and a weakly coupled medium. We find a significant change in the nature and amount of phase delay inmore »« less
https://doi.org/10.1063/1.4876752

Similar Records