Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-24T01:33:32.211Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aliev, Y. M., Schluter, H. & Shivarova, A. 2002 Guided-Wave-Produced Plasmas. Springer. edited by G. Ecker.Google Scholar
Allahyarov, E. A., Podloubny, L. I., Schram, P. P. J. M. & Trigger, S. A. 1997 Damping of longitudinal waves in colloidal crystals of finite size. Phys. Rev. E 55, 592597.CrossRefGoogle Scholar
Boardman, A. D. 1982 Electromagnetic Surface Modes. Wiley.Google Scholar
Buti, B. 1985 Advances in Space Plasma Physics. World Scientific.Google Scholar
Chandrasekhar, S. 1939 An Introduction to the Study of Stellar Structure. The University of Chicago Press.Google Scholar
Chandrasekhar, S. 1968 Hydrodynamics and hydromagnetic stability. Clarendon Press.Google Scholar
Chandrasekhar, S. 1984 On stars, their evolution and their stability. Rev. Mod. Phys. 56, 137147.CrossRefGoogle Scholar
Cooperberg, D. J. 1998 Electron surface waves in a plasma slab with uniform ion density. Phys. Plasmas 5, 853861.CrossRefGoogle Scholar
Ghosh, B. & Das, K. P. 1988 A note on second harmonics generated by a surface wave on a warm plasma half-space. Contrib. Plasma Phys. 28, 97100.CrossRefGoogle Scholar
Gradov, O. M., Ramazashvili, R. R. & Stenflo, L. 1982 Parametric transparency of a magnetized plasma. Plasma Phys. 24, 11011109.CrossRefGoogle Scholar
Gradov, O. M. & Stenflo, L. 1982 Anomalous transmission of electromagnetic energy through a plasma slab. Phys. Scr. 25, 631.CrossRefGoogle Scholar
Gradov, O. M. & Stenflo, L. 1983 a Nonlinearly induced radiation from an overdense plasma region. Plasma Phys. 25, 10511058.CrossRefGoogle Scholar
Gradov, O. M. & Stenflo, L. 1983 b Solitary surface waves on a plasma cylinder. Phys. Fluids 26, 604605.CrossRefGoogle Scholar
Grozev, D., Shivarova, A. & Tanev, S. 1991 Experiments on the nonlinear evolution of surface waves in an open plasma waveguide. J. Plasma Phys. 45, 297322.CrossRefGoogle Scholar
Hasegawa, A. & Chen, L. 1975 Kinetic process of plasma heating due to Alfvén wave excitation. Phys. Rev. Lett. 35, 370373.CrossRefGoogle Scholar
Hussein, A. M. 1990 Nonlinear interaction of electrostatic waves at a narrow inhomogeneous layer of a warm magnetoactive plasma. Phys. Scr. 42, 449451.CrossRefGoogle Scholar
Jeans, J. H. 1902 I. The stability of a spherical nebula. Phil. Trans. R. Soc. Lond. A 199, 153.Google Scholar
Kartwright, K. L., Christenson, P. J., Verboncoeur, J. P. & Birdsall, C. K. 2000 Surface wave enhanced collisionless transport in a bounded crossed-field non-neutral plasma. Phys. Plasmas 7, 17401745.CrossRefGoogle Scholar
Kondratenko, A. N. 1987 Surface and Volume Waves in Bounded Plasma. Atomizdat.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1984 Fluid Mechanics. Pergamon Press.Google Scholar
Mihalas, D. & Mihalas, B. W. 1984 Foundations of Radiation Hydrodynamics. Oxford University Press.Google Scholar
Moisan, M., Shivarova, A. & Trivelpiece, A. W. 1982 Experimental investigations of the propagation of surface waves along a plasma column. Plasma Phys. 24, 13311400.CrossRefGoogle Scholar
Post, D. E., Jensen, R. V., Tarter, C. B., Grasberger, W. H. & Lokke, W. A. 1977 Steady-state radiative cooling rates for low-density, high-temperature plasmas. Atomic Data Nucl. Data Tables 20, 397439.CrossRefGoogle Scholar
Prajapati, R. P. 2011 Effect of polarization force on the Jeans instability of self-gravitating dusty plasma. Phys. Lett. A 375, 26242628.CrossRefGoogle Scholar
Rozina, C., Tsintsadze, L. N., Tsintsadze, N. L. & Ruby, R. 2019 Jeans surface instability of an electron-ion plasma. Phys. Scr. 94, 105601.CrossRefGoogle Scholar
Ruby, R., Rozina, C., Tsintsadze, N. L. & Iqbal, Z. 2020 Gravitating–radiative magnetohydrodynamic surface waves. J. Plasma Phys. 86, 905860406.CrossRefGoogle Scholar
Trivelpiece, A. W. & Gould, R. W. 1959 Space charge waves in cylindrical plasma columns. J. Appl. Phys. 30, 17841793.CrossRefGoogle Scholar
Tsintsadze, L. N. 1995 Relativistic shock waves in an electron–positron plasma. Phys. Plasmas 2, 44624469.CrossRefGoogle Scholar
Tsintsadze, L. N. 1998 Stability of a charged plane surface of an electron–positron–ion plasma. Phys. Plasmas 5, 41074109.CrossRefGoogle Scholar
Tsintsadze, L. N., Callebauti, D. K. & Tsintsadze, N. L. 1996 Black-body radiation in plasmas. J. Plasma Phys. 55, 407413.CrossRefGoogle Scholar
Tsintsadze, N. L., Rozina, C., Ruby, R. & Tsintsadze, L. N. 2018 Jeans anisotropic instability. Phys. Plasmas 25, 073705.CrossRefGoogle Scholar
Tsintsadze, N. L., Rozina, C., Shah, H. A. & Murtaza, G. 2007 Stability of a charged interface between a magnetoradiative dusty plasma and vacuum. Phys. Plasmas 14, 073703.CrossRefGoogle Scholar
Tsintsadze, N. L., Rozina, C., Shah, H. A. & Murtaza, G. 2008 Jeans instability in a magneto-radiative dusty plasma. J. Plasma Phys. 74, 847853.CrossRefGoogle Scholar
Zeldovich, Y. & Raizer, Y. 1966 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena. Academic. edited by W. D. Hayes & R.F Protstein.Google Scholar
Zhelyazkov, I., Murawski, K. & Goossens, M. 1996 MHD surface waves in a complex (longitudinal + sheared) magnetic field. Sov. Phys. Uspekhi 165, 99114.Google Scholar