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Interaction of electrostatic waves in collisionless plasmast†

Published online by Cambridge University Press:  13 March 2009

G. J. Lewak
G. J. Lewak
Affiliation:
Department of Applied Physics and Information Science, Institute for Pure and Applied Physical Sciences, University of California, San Diego, La Jolla, California, U.S.A.
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Abstract

The interaction of three electrostatic waves in a collisionless plasma is treated to fourth order neglecting the wave—particle interaction (damping). Using the principles of energy conservation, and invariance under time reversal, conditions on the coupling constants are derived, enabling the solution to be expressed as a function of only two coupling constants. Phase plane diagrams of the solutions are sketched showing that the only singular points are stable equili bria. It is suggested how the theory may be applied to the explanation of the ‘floating spike’ resonance observable when one-half the hybrid frequency is the difference between the plasma and gyro frequencies (Hagg & Muldrew 1968).

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 1 , January 1971 , pp. 51 - 63
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Barrington, R. E. & Hartz, T. R. 1968 Science, N.Y. 160, 181.CrossRefGoogle Scholar
Bloembergen, N. 1965 Nonlinear Optics. Now York: Benjamin.Google Scholar
Camac, M., Kantrowitz, A. R., Litvak, M. M., Patrick, R. M. & Petshek, H. E. 1962 Nucl. Fusion Suppl. Pt. 2, 423.Google Scholar
Chen, C. S. & Lewak, G. J. 1969 J. Geophys. Res. 74, 4765.CrossRefGoogle Scholar
Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Blaisdell.Google Scholar
Davidson, R. C. 1967 J. Plasma Physics 1, 341.CrossRefGoogle Scholar
Galeev, A. A. & Karpman, V. N. 1963 JETP 17, 403.Google Scholar
Galeev, A. A. & Oraevski, V. N. 1964 Doklady 9, 154.Google Scholar
Hagg, E. L. & Muldrew, D. B. 1968 Proc. Adv. Stud, on Plasma Waves in Space and in the Laboratory. Norway: Roros.Google Scholar
Lewak, G. J. & Chen, C. S. 1969 J. Plasma Phys. 3, 481.CrossRefGoogle Scholar
Lewak, G. J. 1968 J. Geophys. Res. 73, 6379.CrossRefGoogle Scholar
Minorsky, N. 1962 Nonlinear Oscillations. Princeton, N.J.: D. Van Nostrand.Google Scholar
Muldrew, D. B. 1969 Proc. IEEE 57, 1097.CrossRefGoogle Scholar
Stix, T. H. 1962 Theory of Plasma Waves. McGraw-Hill.Google Scholar