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Vortex formation in a non-uniform self-gravitating dusty magnetoplasma

Published online by Cambridge University Press:  01 August 2007

AISHA IJAZ
Affiliation:
Theoretical Plasma Physics Group, Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistanaisha-jz@yahoo.com
ARSHAD M. MIRZA
Affiliation:
Theoretical Plasma Physics Group, Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistanaisha-jz@yahoo.com
M. AZEEM
Affiliation:
Theoretical Plasma Physics Group, Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistanaisha-jz@yahoo.com

Abstract

The dynamics of low-frequency, short-wavelength electrostatic (SWES) drift waves in a self-gravitating, non-uniform, collisional dusty magnetoplasma with equilibrium dust-velocity gradients is studied in the present work. By employing the dust continuity and momentum equations to describe the dust dynamics and Boltzmann distribution for the electrons and ions, we have derived a new set of nonlinear mode coupling equations. In the linear limit, it is found that SWES drift waves are subjected to dissipative instability in the presence of an equilibrium dust sheared flow and self-gravitation effect. On the other hand, in the nonlinear case, it is shown that possible stationary solutions of the nonlinear equations are dipolar vortices.

Type
Papers
Copyright
Copyright © Cambridge University Press 2006

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References

Amin, M. R., Morfill, G. E. and Shukla, P. K. 1998 Phys. Rev. E 58, 6517.Google Scholar
Avinash, K. and Shukla, P. K. 1994 Phys. Lett. A 189, 170.Google Scholar
Azeem, M. and Mirza, A. M. 2006 Physica Scripta 73, 120.Google Scholar
Barkan, A., Merlino, R. L. and D'Angelo, N. 1995 Phys. Plasmas 2, 3563.Google Scholar
Birk, G. T., Kopp, A. and Shukla, P. K. 1996 Phys. Plasmas 3, 3564.CrossRefGoogle Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon, ch. XIII, p. 691.Google Scholar
D'Angelo, N. 1995 J. Phys. D: Appl. Phys. 28, 1009.Google Scholar
De Angelis, U. 1992 Physica Scripta 45, 465.Google Scholar
Eddington, A. S. 1926 Internal Constitution of Stars. Cambridge: Cambridge University Press.Google Scholar
Friedman, A. M. and Polyachenko, V. L. 1984 Physics of Gravitating System. Berlin: Springer.Google Scholar
Goertz, C. K. 1989 Rev. Geophys. 27, 271.CrossRefGoogle Scholar
Jeans, J. H. 1902 Phil. Trans. Roy. Soc. (London) 199, 1.Google Scholar
Liu, J. and Horton, W. 1986 J. Plasma Phys. 36, 1.Google Scholar
Mahanta, L., Saikia, B. J., Pandey, B. P. and Bujarbarua, S. 1996 J. Plasma Phys. 55, 401.Google Scholar
Mamun, A. A. 1998 Phys. Plasmas 5, 3542.Google Scholar
Mamun, A. A. and Alam, M. N. 1998 Physica Scripta 57, 535.CrossRefGoogle Scholar
Mamun, A. A. and Gebreel, A. A. 2000 Eur. Phys. J. D: At. Mol. Opt. Phys. 11, 473.Google Scholar
Mendis, D. A. and Rosenberg, M. 1994 Ann. Rev. Astron. Astrophys. 32, 419.Google Scholar
Mamun, A. A. and Shukla, P. K. 2000 Phys. Plasmas 7, 3762.Google Scholar
Mamun, A. A. and Shukla, P. K. 2001 Phys. Plasmas 8, 3513.Google Scholar
Pandey, B. P., Avinash, K. and Dwivedi, C. B. 1994 Phys. Rev. E 49, 5599.Google Scholar
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Planet. Space Sci. 38, 543.Google Scholar
Salimullah, M. 1996 Phys. Lett. A 215, 296.Google Scholar
Salimullah, M. and Shukla, P. K. 1998 Phys. Plasmas 5, 4502.Google Scholar
Shukla, P. K. 1994 Phys. Plasmas 1, 1362.Google Scholar
Shukla, P. K., Birk, G. T. and Bingham, R. 1995 Geophys. Res. Lett. 22, 671.Google Scholar
Shukla, P. K. and Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. Bristol: Institute of Physics Publishing Ltd.Google Scholar
Shukla, P. K. and Rao, N. N. 1993 Planet. Space Sci. 41, 401.Google Scholar
Shukla, P. K. and Silin, V. P. 1992 Physica Scripta 45, 508.Google Scholar
Shukla, P. K., Yu, M. Y. and Bharuthram, R. 1991 J. Geophys. Res. 96, 21343.CrossRefGoogle Scholar
Varma, P. K., Shukla, P. K. and Krishan, V. 1993 Phys. Rev. E 47, 3612.Google Scholar
Verheest, F. 2000 Waves in Dust Space Plasmas. Dordrecht: Kluwer Academic Publishers.Google Scholar
Verheest, F., Shukla, P. K., Rao, N. N. and Meuris, P. 1996 J. Plasma Phys. 55, 401.Google Scholar