Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T06:27:37.705Z Has data issue: false hasContentIssue false

Nonlinear excitation of vortices at the upper-hybrid layer

Published online by Cambridge University Press:  13 March 2009

H. U. Rahman
Affiliation:
Institut für Theoretische Physik, Ruhr-Universität Bochum, 4630 Bochum 1, F. R. Germany.
M. Y. Yu
Affiliation:
Institut für Theoretische Physik, Ruhr-Universität Bochum, 4630 Bochum 1, F. R. Germany.
P. K. Shukla
Affiliation:
Institut für Theoretische Physik, Ruhr-Universität Bochum, 4630 Bochum 1, F. R. Germany.

Extract

It is shown that convective cells can be excited by large-amplitude propagating upper-hybrid waves in a plasma. Using the two-fluid model, we obtain a coupled set of differential equations. A nonlinear dispersion relation for the modulational instability is then derived. This relation is investigated for two parameter regimes and expressions for the growth rates are obtained analytically. The limiting case of a dipole pump field is also considered. The relevance of our work in laser-produced, as well as magnetically confined, plasmas is discussed.

Type
Articles
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

Bujarbarua, S., Shukla, P. K. & Yu, M. Y. 1979 Phys. Lett. 73 A, 111.CrossRefGoogle Scholar
Chen, L., & Okuda, H. 1975 Preprint MATT-1142, Plasma Physics Laboratory.Google Scholar
Cho, T., & Tanaka, S. 1980 Proceedings of International Conference on Plasma Physics, Nagoya, vol. 1, p. 404.Google Scholar
Gredogi, C., Liu, C. S. & Tripathi, V. K. 1977 Phys. Rev. Lett. 39, 388.Google Scholar
Kaufman, A. N., & Stenflo, L. 1975 Phys. Scripta, 11, 269.CrossRefGoogle Scholar
Kruer, W. L., & Estabrook, K. 1977 Phys. Fluids, 20, 1688.CrossRefGoogle Scholar
Okuda, H., & Dawson, J. M. 1973 Phys. Fluids, 16, 408.CrossRefGoogle Scholar
Porkolab, M., & Goldman, M. V. 1976 Phys. Fluids 19, 872.CrossRefGoogle Scholar
Sagdeev, R. Z., Shapiro, V. D. & Shevchenko, V. I. 1978 JETP Lett. 27, 390.Google Scholar
Shukla, P. K., Yu, M. Y., Tagare, S. G., Sharma, A. S. & Spatschek, K. H. 1978 Plasma Phys. 20, 569.CrossRefGoogle Scholar
Sugai, H., Niki, H. & Takeda, S. 1980 Proceedings of International Conference on Plasma Physics, Nagoya, vol. 1, 113.Google Scholar
Taylor, J. B., & McNamara, B. 1971 Phys. Fluids, 14, 1492.CrossRefGoogle Scholar
Turner, J. G., & Boyd, T. J. M. 1979 J. Plasma Phys. 22, 121.CrossRefGoogle Scholar
White, R. B., & Chen, F. F. 1974 Plasma Phys. 16, 565.CrossRefGoogle Scholar
Woo, W., Estabrook, K. & DeGroot, J. S. 1978 Phys. Rev. Lett. 40, 1094.CrossRefGoogle Scholar
Woo, W., & DeGroot, J. S. 1979 Phys. Fluids, 22, 2241.CrossRefGoogle Scholar
Yu, M. Y., & Shukla, P. K. 1977 Plasma Phys. 19, 889.CrossRefGoogle Scholar