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

Title: Two dimensional planar and nonplanar ion acoustic shock waves in electron-positron-ion plasmas

Abstract

Two dimensional ion acoustic shock waves (IASWs) are studied in an unmagnetized plasma consisting of electrons, positrons, and adiabatically hot positive ions. This is done by deriving the nonplanar Kadomstev-Petviashvili-Burgers (KPB) equation under the small amplitude perturbation expansion method. The dissipation is introduced by taking into account the kinematic viscosity among the plasma constituents. The limiting cases of the nonplanar KPB equation are also discussed. The analytical solution of the planar KPB equation is obtained using the tangent hyperbolic method that is used as the initial profile to numerically solve the nonplanar KPB equation. It is found that the strength of IASW is maximum for spherical, intermediate for cylindrical, and minimum for planar geometry. It is observed that the positron concentration and the plasma kinematic viscosity significantly modify the shock structure. Finally, the temporal evolution of the nonplanar IASW is investigated and the results are discussed from the numerical stand point. The results of the present study may be applicable in the study of small amplitude localized electrostatic shock structures in electron-positron-ion plasmas.

Authors:
;  [1]
  1. Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 54000 (Pakistan)
Publication Date:
OSTI Identifier:
21282096
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 16; Journal Issue: 9; Other Information: DOI: 10.1063/1.3208695; (c) 2009 American Institute of Physics; 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; ANALYTICAL SOLUTION; CATIONS; ELECTRONS; ION ACOUSTIC WAVES; PERTURBATION THEORY; PLASMA; POSITRONS; SHOCK WAVES; TWO-DIMENSIONAL CALCULATIONS; VISCOSITY

Citation Formats

Masood, W, and Rizvi, H. Two dimensional planar and nonplanar ion acoustic shock waves in electron-positron-ion plasmas. United States: N. p., 2009. Web. doi:10.1063/1.3208695.
Masood, W, & Rizvi, H. Two dimensional planar and nonplanar ion acoustic shock waves in electron-positron-ion plasmas. United States. https://doi.org/10.1063/1.3208695
Masood, W, and Rizvi, H. 2009. "Two dimensional planar and nonplanar ion acoustic shock waves in electron-positron-ion plasmas". United States. https://doi.org/10.1063/1.3208695.
@article{osti_21282096,
title = {Two dimensional planar and nonplanar ion acoustic shock waves in electron-positron-ion plasmas},
author = {Masood, W and Rizvi, H},
abstractNote = {Two dimensional ion acoustic shock waves (IASWs) are studied in an unmagnetized plasma consisting of electrons, positrons, and adiabatically hot positive ions. This is done by deriving the nonplanar Kadomstev-Petviashvili-Burgers (KPB) equation under the small amplitude perturbation expansion method. The dissipation is introduced by taking into account the kinematic viscosity among the plasma constituents. The limiting cases of the nonplanar KPB equation are also discussed. The analytical solution of the planar KPB equation is obtained using the tangent hyperbolic method that is used as the initial profile to numerically solve the nonplanar KPB equation. It is found that the strength of IASW is maximum for spherical, intermediate for cylindrical, and minimum for planar geometry. It is observed that the positron concentration and the plasma kinematic viscosity significantly modify the shock structure. Finally, the temporal evolution of the nonplanar IASW is investigated and the results are discussed from the numerical stand point. The results of the present study may be applicable in the study of small amplitude localized electrostatic shock structures in electron-positron-ion plasmas.},
doi = {10.1063/1.3208695},
url = {https://www.osti.gov/biblio/21282096}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 16,
place = {United States},
year = {Tue Sep 15 00:00:00 EDT 2009},
month = {Tue Sep 15 00:00:00 EDT 2009}
}