Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-09T19:35:25.704Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  13 March 2009

Rachelle Bergmann
Rachelle Bergmann
Affiliation:
Department of Space Physics and Astronomy, Rice University, Houston TX 77251
Get access Rights & Permissions [Opens in a new window]

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 Te ≫ Ti.

Type
Research Article
Information
Journal of Plasma Physics , Volume 36 , Issue 1 , August 1986 , pp. 97 - 110
Copyright
Copyright © Cambridge University Press 1986

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

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