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Theory of magnetosonic wave—plateau shocks driven by upper-hybrid waves

Published online by Cambridge University Press:  13 March 2009

N. N. Rao
Affiliation:
Theoretical Physics Division, Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India

Abstract

The existence as well as the structure of magnetosonic wave-plateau shocks driven by upper-hybrid waves in a two-component electron-ion magnetized plasma is analysed. In the incident region the field quantities have a standing-wave structure, whereas in the evanescent region they monotonically reach constant values. The plasma flow velocity undergoes a transition from submagnetosonic (in the evanescent region) to supermagnetosonic (in the incident region) values via the magnetosonic point. The number density (or the magnetic field) across the shock-front region has a steep gradient and connects a rarefaction (under-dense) wave in the incident region to a shelf-like (over-dense) structure in the evanescent region, where the upper-hybrid electric field drops to zero monotonically. For the case of small- but finite-amplitude shocks the detailed structures of the profiles are obtained analytically. For large-amplitude shocks the profiles are computed using numerical methods. An extension of the present theory as well as some possible applications are pointed out.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

REFERENCES

Aldrich, C. H., Jones, R. D. & Lee, K. 1984 Phys. Fluids, 27, 2351.CrossRefGoogle Scholar
Burden, R. L. & Faires, J. D. 1985 Numerical Analysis, p. 230, Prindle, Weber & Schmidt.Google Scholar
Dysthe, K. B., Mjolhus, E., Pecseli, H. L. & Stenflo, L. 1984 Plasma Phys. Contr. Fusion, 26, 443.CrossRefGoogle Scholar
Fedosejevs, R., Burgess, M. D. J., Enright, G. D. & Richardson, M. C. 1979 Phys. Rev. Lett. 43, 1664.CrossRefGoogle Scholar
Forslund, D. W., Kindel, J. M., Lee, K. & Lindman, E. L. 1976 Phys. Rev. Lett. 36, 35.CrossRefGoogle Scholar
Galeev, A. A., Klimov, S. I., Nozdrachev, M. N., Sagdeev, R. Z. & Sokolov, A. Y. 1986 Soviet Phys. JETP, 63, 991.Google Scholar
Helfand, D. J. & Becker, R. H. 1987 Astrophys. J. 314, 203.CrossRefGoogle Scholar
Jones, R. D., Aldrich, C. H. & Lee, K. 1981 Phys. Fluids, 24, 310.CrossRefGoogle Scholar
Kazanas, D. & Ellison, D. 1986 Astrophys. J. 304, 178.CrossRefGoogle Scholar
Kennel, C. F. & Coroniti, F. V. 1984 Astrophys. J. 283, 710.CrossRefGoogle Scholar
Langdon, A. B., Arons, J. & Max, C. E. 1988 Phys. Rev. Lett. 61, 779.CrossRefGoogle Scholar
Lee, K., Forslund, D. W., Kindel, J. M. & Lindman, E. L. 1977 Phys. Fluids, 20, 51.CrossRefGoogle Scholar
Lembege, B. & Dawson, J. M. 1986 Phys. Fluids, 29, 821.CrossRefGoogle Scholar
Leyser, T. B., Thide, B., Derblom, H., Hedberg, A., Lundborg, B., Stubbe, P. & Kopka, H. 1989 Phys. Rev. Lett. 63, 1145.CrossRefGoogle Scholar
Mason, A., Morrison, P. & Sadun, A. C. 1988 Nature, 333, 640.CrossRefGoogle Scholar
Mellott, M. M. & Greenstadt, E. W. 1984 J. Geophys. Res. 89, 2151.CrossRefGoogle Scholar
Ohsawa, Y. 1986 Phys. Fluids, 29, 2474.CrossRefGoogle Scholar
Porkolab, M. & Goldman, M. V. 1976 Phys. Fluids, 19, 872.CrossRefGoogle Scholar
Rao, N. N. 1988 J. Plasma Phys. 39, 385.CrossRefGoogle Scholar
Rao, N. N. & Kaup, D. J. 1990 J. Geophys. Res. 95, 17245.CrossRefGoogle Scholar
Rao, N. N., Shukla, P. K. & Yu, M. Y. 1984 J. Plasma Phys. 32, 119.CrossRefGoogle Scholar
Rao, N. N., Yu, M. Y. & Shukla, P. K. 1986 Physica Scr. 33, 78.CrossRefGoogle Scholar
Stroscio, M. A., Lee, K. & Lindman, E. L. 1978 Phys. Fluids, 21, 1509.CrossRefGoogle Scholar
Tidman, D. A. & Krall, N. A. 1971 Shock Waves in Collisionless Plasmas, p. 104. Wiley.Google Scholar
Tsurutani, B. T., Thorne, R. M., Smith, E. J., Gosling, J. T. & Matsumoto, H. 1987 J. Geophys. Res. 92, 11074.CrossRefGoogle Scholar