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Three-wave coupling coefficient in a drifting bi-Maxwellian plasma

Published online by Cambridge University Press:  13 March 2009

Rachelle Bergmann
Affiliation:
Department of Space Physics and Astronomy, Rice University, Houston TX 77251

Abstract

A general electrostatic coupling coefficient which satisfies the Manley-Rowe relations is used to derive an explicit expression for the resonant three-wave coupling coefficient between electrostatic normal modes of a uniformly magnetized, infinite, homogeneous plasma with species described by drifting bi-Maxwellian distribution functions. The limit of this expression is taken when the phase velocities of the three waves are much larger than a species thermal speed, and also when the phase velocities are much smaller than the thermal speed. These are fluid limits and are applicable to the three-wave interaction between some low-frequency electrostatic waves, such as ion acoustic and ion cyclotron modes, in a plasma where TeTi.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Bergmann, R. & Hudson, M. K. 1986 J. Geophys. Res.Google Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Johnston, S. & Kaufman, A. N. 1978 Phys. Rev. Lett. 40, 1266.CrossRefGoogle Scholar
Johnston, S., Kaufman, A. N. & Johnston, G. L. 1978 J. Plasma Phys. 20, 365.CrossRefGoogle Scholar
Johnston, S. & Kaufmann, A. N. 1979 J. Plasma Phys. 22, 105.CrossRefGoogle Scholar
Kaufman, A. N. 1982 Physica Scripta T2/2, 517.CrossRefGoogle Scholar
Littlejohn, R. G. 1981 Phys. Fluids 24, 1730.CrossRefGoogle Scholar
Nishikawa, K.-I., Okuda, H. & Hasegawa, A. 1985 J. Geophys. Res. 90, 419.CrossRefGoogle Scholar
Retterer, J., Chang, T. & Jasperse, J. R. 1986 J. Geophys. Res. 91, 1609.CrossRefGoogle Scholar
Sagdeev, R. Z. & Galeev, A. A. 1969 Nonlinear Plasma Theory. Benjamin.Google Scholar
Stefan, V. & Krall, N. A. 1985 Phys. Fluids 28, 2937.CrossRefGoogle Scholar
Takase, Y. & Porkolab, M. 1983 Phys. Fluids 26, 2992.CrossRefGoogle Scholar
Weiland, J. & Wilhelmsson, H. 1977 Coherent Non-linear Interaction of Waves in Plasmas. Pergamon.Google Scholar