Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-07-26T07:28:24.814Z Has data issue: false hasContentIssue false
  • English
  • Français

Parametric instability of hydromagnetic waves with oblique propagation

Published online by Cambridge University Press:  13 March 2009

Kiyohumi Yumoto
Kiyohumi Yumoto
Affiliation:
Onagawa Magnetic Observatory and Geophysical Institute, Tohoku University, Sendai 980, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The parametric excitation of Alfvén waves by two magnetosonic waves, which propagate obliquely to the static magnetic field, is analysed. The theoretical model used is the uniform, unbounded, ideally conducting and compressible one-fluid plasma, with suitable resonance conditions. Our consideration is restricted to determining the conditions under which some initially small perturbation grows, so that the magnetosonic pump wave is regarded as constant. It is found that, both in the case of the standing and the propagating pump, the growth rates of the excited waves depend not only on the pump power but also on β, and that the threshold pump intensities are proportional to β. In the case of the standing pump, the threshold pump intensity of the oscillating instability is zero at perfect matching. The parametric excitation of Alfvén waves by two magnetosonic waves, which propagate obliquely to the static magnetic field, is analysed. The theoretical model used is the uniform, unbounded, ideally conducting and compressible one-fluid plasma, with suitable resonance conditions. Our consideration is restricted to determining the conditions under which some initially small perturbation grows, so that the magnetosonic pump wave is regarded as constant. It is found that, both in the case of the standing and the propagating pump, the growth rates of the excited waves depend not only on the pump power but also on β, and that the threshold pump intensities are proportional to β. In the case of the standing pump, the threshold pump intensity of the oscillating instability is zero at perfect matching.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 3 , December 1981 , pp. 497 - 507
Copyright
Copyright © Cambridge University Press 1981

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

Arthur, C. W., McPherron, R. L. & Hughes, W. J. 1977 J. Geophys. Res. 82, 1149.CrossRefGoogle Scholar
Cramer, N. F. 1977 J. Plasma Phys. 17, 93.CrossRefGoogle Scholar
Elfimov, A. G. & Nekrasov, F. M. 1973 Nucl. Fusion, 13, 653.CrossRefGoogle Scholar
Greenstadt, E. W. & Olson, J. V. 1976 J. Geophys. Res. 81, 5911.CrossRefGoogle Scholar
Greenstadt, E. W., Russell, C. T., Formisano, V., Hedgecock, P. C., Scarf, F. L., Neugebauer, M. & Holzer, R. F. 1977 J. Geophys. Res. 82, 651.CrossRefGoogle Scholar
Greenstadt, E. W., Singer, H. J., Russell, C. T. & Olson, J. V. 1979 J. Geophys. Res. 84, 527.CrossRefGoogle Scholar
Gulémi, A. V. 1974 Space Sci. Rev. 16, 331.Google Scholar
Hung, N. 1974 J. Plasma Phys. 12, 445.CrossRefGoogle Scholar
Hoppe, M., Russell, C. T., Frank, L. A., Eastman, T. E. & Greenstadt, E. W. 1981 J. Geophys. Res. 86, 4471.CrossRefGoogle Scholar
Kato, Y., Tanaka, M. & Sato, Y. 1967 Sci. Rept. Tohoku Univ. Ser. 5, Geophys. 8, 45.Google Scholar
Kovner, M. S., Lebedev, V. V., Plyasova-Bakunina, T. A. & Troitskaya, V. A. 1976 Planet. Space Sci. 24, 261.CrossRefGoogle Scholar
Patel, V. L., Greaves, R. J. & Wahab, S. A. 1979 J. Geophys. Res. 84, 4257.CrossRefGoogle Scholar
Saito, T., Takahashi, K. & Sakurai, T. 1979 a Planet. Space Sci. 27, 809.CrossRefGoogle Scholar
Saito, T., Yumoto, K., Takahash, K., Tamura, T. & Sakurai, T. 1979 b Proceedings of International Workshop on Selected Topics of Magnetospheric Physics, Tokyo, p. 155.Google Scholar
Saito, T., Yumoto, K. & Tamura, T. 1979 c Proceedings of Japanese IMS Symposium, Tokyo, p. 11.Google Scholar
Sato, N. & Kokubun, S. 1980 J. Geophys. Res. 85, 101.CrossRefGoogle Scholar
Southwood, D. J. 1968 Planet. Space Sci. 16, 587.CrossRefGoogle Scholar
Yumoto, K. & Saito, T. 1980 Planet. Space Sci. 28, 789.CrossRefGoogle Scholar