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Nonlinear ion acoustic excitations in relativistic degenerate, astrophysical electron–positron–ion plasmas

Published online by Cambridge University Press:  28 May 2013

ATA-UR RAHMAN ,
S. ALI ,
A. MUSHTAQ  and
A. QAMAR
ATA-UR RAHMAN
Affiliation:
Institute of Physics and Electronics, University of Peshawar, Peshawar 25000, Pakistan (ata797@yahoo.com) National Centre for Physics, QAU Campus, Shahdrah Valley Road, Islamabad 44000, Pakistan
S. ALI
Affiliation:
National Centre for Physics, QAU Campus, Shahdrah Valley Road, Islamabad 44000, Pakistan
A. MUSHTAQ
Affiliation:
National Centre for Physics, QAU Campus, Shahdrah Valley Road, Islamabad 44000, Pakistan Department of Physics, Abdul Wali Khan University, Mardan 23200, Pakistan
A. QAMAR
Affiliation:
Institute of Physics and Electronics, University of Peshawar, Peshawar 25000, Pakistan (ata797@yahoo.com) National Centre for Physics, QAU Campus, Shahdrah Valley Road, Islamabad 44000, Pakistan
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Abstract

The dynamics and propagation of ion acoustic (IA) waves are considered in an unmagnetized collisionless plasma, whose constituents are the relativistically degenerate electrons and positrons as well as the inertial cold ions. At a first step, a linear dispersion relation for IA waves is derived and analysed numerically. For nonlinear analysis, the reductive perturbation technique is used to derive a Korteweg–deVries equation, which admits a localized wave solution in the presence of relativistic degenerate electrons and positrons. It is shown that only compressive IA solitary waves can propagate, whose amplitude, width and phase velocity are significantly modified due to the positron concentration. The latter also strongly influences all the relativistic plasma parameters. Our present analysis is aimed to understand collective interactions in dense astrophysical objects, e.g. white dwarfs, where the lighter species electrons and positrons are taken as relativistically degenerate.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 817 - 823
Copyright
Copyright © Cambridge University Press 2013 

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