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Modified convective cells in plasmas

Published online by Cambridge University Press:  13 March 2009

D. Jovanović
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
H. L. Pécseli
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
J. Juul Rasmussen
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark
K. Thomsen
Affiliation:
Association EURATOM-Risø National Laboratory, Physics Department, Risø, P.O. Box 49, DK-4000 Roskilde, Denmark

Abstract

Two coupled equations describing the nonlinear evolution of modified convective cells with a finite but small wavenumber parallel to the external magnetic field B are derived. It is found that, for oblique propagation, the electrostatic and magnetostatic convective mode do not decouple as in the strictly perpen-dicular case. Various aspects of the governing equations are investigated. In the weakly nonlinear lirait, a three-wave interaction study shows the possibility of dual energy cascading, or of cascading to larger wavenumbers only, depending on the direction of the parallel wavenumber component of the pump wave. Furthermore, solitary wave solutions in the form of double vortices are considered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Chu, C., Chu, M.-S. & Ohkawa, T. 1978 Phys. Rev. Lett. 41, 653.CrossRefGoogle Scholar
Flierl, G. R., Stern, M. E. & Whitehead, J. A. 1983 Dyn, Atmoa. Oceans, 7, 233.Google Scholar
Harries, W. L. 1970 Phys. Fluids, 13, 1751.CrossRefGoogle Scholar
Hasegawa, A. & Kodama, Y. 1978 Phys. Rev. Lett. 41, 1470.CrossRefGoogle Scholar
Hasegawa, A. & Mima, K. 1977 Phys. Rev. Lett. 39, 205.CrossRefGoogle Scholar
Laedke, E. W. & Spatschek, K. H. 1985 Phys. Fluids, 28, 1008.CrossRefGoogle Scholar
Larichev, V. D. & Reznik, G. M. 1978 Dokl. Earth Sci. 231, 12.Google Scholar
Makino, M., Kamimura, T. & Taniuti, T. 1980 J. Phys. Soc. Japan, 50, 980.CrossRefGoogle Scholar
Meiss, J. D. & Horton, W. 1983 Phys. Fluids, 26, 990.CrossRefGoogle Scholar
Mikhailovskii, A. B., Aburdzhaniya, G. D., Onischenko, O. G. & Sharapov, S. E. 1984 a Phys. Lett. 104A, 94.CrossRefGoogle Scholar
Mikhailovskii, A. B., Lakhin, V. P., Mikhailovskaya, L. A. & Onischenko, O. G. 1984 b Soviet Phys. JETP, 59, 1198.Google Scholar
Navratil, G. A. & Post, R. S. 1979 Comm. Plasma Phys. 5, 29.Google Scholar
Okuda, H. & Dawson, J. M. 1973 Phys. Fluids, 17, 705.Google Scholar
Pavlenko, V. P. & Petviashvili, V. I. 1983 Soviet J. Plasma Phys. 9, 603.Google Scholar
Pécseli, H. L. & Mikkelsen, T. 1985 J. Plasma Phys. 34, 77.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J., Sugai, H. & Thomsen, K. 1984 a Plasma Phys. Contr. Fusion, 26, 1021.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1984 b Phys. Rev. Lett. 52, 2148.CrossRefGoogle Scholar
Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1985 Plasma Phys. Contr. Fusion, 27, 837.CrossRefGoogle Scholar
Petviashvili, V. I. & Pokhotelov, O. A. 1985 JETP Lett. 42, 55.Google Scholar
Pierini, S. 1985 Dyn. Atmos. Oceans, 9, 273.CrossRefGoogle Scholar
Rahman, H. U. & Weiland, J. 1983 Phys. Rev. A, 28, 1673.CrossRefGoogle Scholar
Seyler, C. E., Salu, Y., Montgomery, D. & Knorr, G. 1975 Phys. Fluids, 18, 803.CrossRefGoogle Scholar
Shukla, P. K., Anderson, D., Lisak, M. & Wilhelmsson, H. 1985 Phys. Rev. A 31, 1946.CrossRefGoogle Scholar
Shukla, P. K. & Yu, M. Y. 1984 J. Plasma Phys. 31, 231.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y. & Spatschek, K. H. 1981 Phys. Rev. A, 23, 3247.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y., Rahman, H. V. & Spatschek, K. H. 1984 Phys. Rep. C, 105, 227.CrossRefGoogle Scholar
Sugai, H., Pécseli, H. L., Rasmussen, J. J. & Thomsen, K. 1983 Phys. Fluids, 26, 1388.CrossRefGoogle Scholar
Taniuti, T. & Hasegawa, A. 1982 Physica Scripta, T2/2, 529.Google Scholar