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Nonlinear interaction between longitudinal waves in a magnetized plasma

Published online by Cambridge University Press:  13 March 2009

A. A. Selim
Affiliation:
Department of Mathematics, Faculty of Science, Riyad University, Riyad

Abstract

Quantum field theory is used to investigate the resonant nonlinear interaction between three longitudinal waves propagating at any arbitrary angle to a uniform magnetic field in a plasma. The coupled mode equations, coupling coefficient and a formula for the growth rates are derived.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1978

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References

REFERENCES

Askne, J. 1972 J. Phys. Gen. Phys. (A), 5, 1578.CrossRefGoogle Scholar
Coppi, B., Rosenbluth, M. N. & Sudan, R. N. 1969 Ann. Phys., N.Y. 55, 207.Google Scholar
Das, K. P. & Banerjee, D. 1976 J. Plasma Phys. 16, 95.CrossRefGoogle Scholar
Davidson, R. C. & Goldman, R. 1968 Phys. Rev. Lett. 21, 1671.CrossRefGoogle Scholar
Fukai, J., Krishan, S. & Harris, E. G. 1970 Phys. Fluids, 13, 3031.CrossRefGoogle Scholar
Harker, K. J. & Crawford, F. W. 1968 J. Appl. Phys. 39, 5959.CrossRefGoogle Scholar
Harris, E. G. 1969 Advances in Plasma Physics (ed. Simon, A. and Thompson, W. B.), Vol 3, p. 157. Interscienee.Google Scholar
Krishan, S. & Fukai, J. 1971 Phys. Fluids, 14, 1158.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1958 Quantum Mechanics. Addison-Wesley.Google Scholar
Low, F. E. 1958 Proc. Roy. Soc. A 248, 282.Google Scholar
Porkolab, M. & Chang, R. P. H. 1970 Phys. Fluids, 13, 2054.CrossRefGoogle Scholar
Porkolab, M. & Chang, R. P. H. 1972 Phys. Fluids, 15, 283.CrossRefGoogle Scholar
Selim, A. A. 1972 Ph.D. thesis, University of Alberta, Canada.Google Scholar
Selim, A. A., Krishan, S. & Rankin, D. 1973 J. Plasma Phys. 4, 23.Google Scholar
Stenflo, L. 1970 J. Plasma Phys. 4, 585.CrossRefGoogle Scholar