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Title: Interesting features of nonlinear shock equations in dissipative pair-ion-electron plasmas

Abstract

Two dimensional nonlinear electrostatic waves are studied in unmagnetized, dissipative pair-ion-electron plasmas in the presence of weak transverse perturbation. The dissipation in the system is taken into account by incorporating the kinematic viscosity of both positive and negative ions. In the linear case, a biquadratic dispersion relation is obtained, which yields the fast and slow modes in a pair-ion-electron plasma. It is shown that the limiting cases of electron-ion and pair-ion can be retrieved from the general biquadratic dispersion relation, and the differences in the characters of the waves propagating in both the cases are also highlighted. Using the small amplitude approximation method, the nonlinear Kadomtsev Petviashvili Burgers as well as Burgers-Kadomtsev Petviashvili equations are derived and their applicability for pair-ion-electron plasma is explained in detail. The present study may have relevance to understand the formation of two dimensional electrostatic shocks in laboratory produced pair-ion-electron plasmas.

Authors:
 [1];  [2];  [1]
  1. Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 54000 (Pakistan)
  2. (NCP), Shahdara Valley Road, 44000 Islamabad (Pakistan)
Publication Date:
OSTI Identifier:
22043477
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 9; Other Information: (c) 2011 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; AMPLITUDES; APPROXIMATIONS; DISPERSION RELATIONS; DISTURBANCES; ELECTRONS; EQUATIONS; IONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; PLASMA; PLASMA WAVES; SHOCK WAVES; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Masood, W., National Centre for Physics, and Rizvi, H. Interesting features of nonlinear shock equations in dissipative pair-ion-electron plasmas. United States: N. p., 2011. Web. doi:10.1063/1.3629980.
Masood, W., National Centre for Physics, & Rizvi, H. Interesting features of nonlinear shock equations in dissipative pair-ion-electron plasmas. United States. doi:10.1063/1.3629980.
Masood, W., National Centre for Physics, and Rizvi, H. Thu . "Interesting features of nonlinear shock equations in dissipative pair-ion-electron plasmas". United States. doi:10.1063/1.3629980.
@article{osti_22043477,
title = {Interesting features of nonlinear shock equations in dissipative pair-ion-electron plasmas},
author = {Masood, W. and National Centre for Physics and Rizvi, H.},
abstractNote = {Two dimensional nonlinear electrostatic waves are studied in unmagnetized, dissipative pair-ion-electron plasmas in the presence of weak transverse perturbation. The dissipation in the system is taken into account by incorporating the kinematic viscosity of both positive and negative ions. In the linear case, a biquadratic dispersion relation is obtained, which yields the fast and slow modes in a pair-ion-electron plasma. It is shown that the limiting cases of electron-ion and pair-ion can be retrieved from the general biquadratic dispersion relation, and the differences in the characters of the waves propagating in both the cases are also highlighted. Using the small amplitude approximation method, the nonlinear Kadomtsev Petviashvili Burgers as well as Burgers-Kadomtsev Petviashvili equations are derived and their applicability for pair-ion-electron plasma is explained in detail. The present study may have relevance to understand the formation of two dimensional electrostatic shocks in laboratory produced pair-ion-electron plasmas.},
doi = {10.1063/1.3629980},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 18,
place = {United States},
year = {2011},
month = {9}
}