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Surface waves on the inhomogeneous interface between radiative electron–ion plasma and vacuum

Published online by Cambridge University Press:  05 August 2021

N. Maryam
Affiliation:
Department of Physics, Lahore College for Women University, Lahore54000, Pakistan
Ch. Rozina
Affiliation:
Department of Physics, Lahore College for Women University, Lahore54000, Pakistan
B. Arooj
Affiliation:
Department of Physics, Lahore College for Women University, Lahore54000, Pakistan
A. Asma
Affiliation:
Department of Physics, Lahore College for Women University, Lahore54000, Pakistan
I. Kourakis
Affiliation:
Department of Mathematics, College of Arts and Sciences, Khalifa University of Science, Technology and Research, P.O. Box 12778, Abu Dhabi, United Arab Emirates

Abstract

The impact of temperature inhomogeneity, surface charge and surface mass densities on the stability analysis of charged surface waves at the interface between dense, incompressible, radiative, self-gravitating magnetized electron–ion plasma and vacuum is investigated. For such an incompressible plasma system, the temperature inhomogeneity is governed by an energy balance equation. Adopting the one-fluid magnetohydrodynamic (MHD) approximation, a general dispersion relation is obtained for capillary surface waves, which takes into account gravitational, radiative and magnetic field effects. The dispersion relation is analysed to obtain the conditions under which the plasma–vacuum interface may become unstable. In the absence of electromagnetic (EM) pressure, astrophysical objects undergo gravitational collapse through Jeans surface oscillations in contrast to the usual central contraction of massive objects due to enhanced gravity. EM radiation does not affect the dispersion relation much, but actually tends to stabilize the Jeans surface instability. In certain particular cases, pure gravitational radiation may propagate on the plasma vacuum interface. The growth rate of radiative dissipative instability is obtained in terms of the wavevector. Our theoretical model of the Jeans surface instability is applicable in astrophysical environments and also in laboratory plasmas.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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