Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T00:33:19.337Z Has data issue: false hasContentIssue false
  • English
  • Français

The Zakharov equations: a derivation using kinetic theory

Published online by Cambridge University Press:  13 March 2009

D. B. Melrose
D. B. Melrose
Affiliation:
School of Physics, University of Sydney, Sydney NSW 2006, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

The Zakharov equations are derived using the weak turbulence expansion with approximate forms of the nonlinear response tensors from kinetic theory. The method is used to generalize the equations to the magnetized case. The range of validity of the Zakharov model is discussed briefly.

Type
Research Article
Information
Journal of Plasma Physics , Volume 37 , Issue 2 , April 1987 , pp. 241 - 246
Copyright
Copyright © Cambridge University Press 1987

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

Cary, J. R. & Kaufman, A. N. 1977 Phys. Rev. Lett. 39, 402.CrossRefGoogle Scholar
Goldman, M. V. 1984 Rev. Mod. Phys. 56, 709.CrossRefGoogle Scholar
Kuznetsov, E. A. 1974 Soviet Phys. JETP, 39, 1003.Google Scholar
Manheimer, W. M. 1985 Phys. Fluids, 28, 1569.CrossRefGoogle Scholar
Melrose, D. B. 1980 Plasma Astrophysics, vol. 1. Gordon & Breach.Google Scholar
Melrose, D. B. 1986 a J. Plasma Phys. 36, 269.CrossRefGoogle Scholar
Melrose, D. B. 1986 b Aust. J. Phys. (In press.)Google Scholar
Melrose, D. B. 1986 c Instabilities in Space and Laboratory Plasmas. Cambridge University Press.CrossRefGoogle Scholar
Melrose, D. B. 1987 a J. Plasma Phys. (To be published.)Google Scholar
Melrose, D. B. 1987 b Aust. J. Phys. 39, 891.CrossRefGoogle Scholar
Zakharov, V. E. 1972 Soviet Phys. JETP, 35, 908.Google Scholar
Zakharov, V. E. 1975 JETP Lett. 21, 221.Google Scholar