Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T05:05:16.799Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear interaction of electrostatic waves in a magnetized Vlasov plasma

Published online by Cambridge University Press:  13 March 2009

Jonas Larsson
Jonas Larsson
Affiliation:
Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden
Get access Rights & Permissions [Opens in a new window]

Abstract

A new expression for the second-order dielectric function є(2) (K1,ω1, K2,ω2) is derived from the Vlasov–Poisson equations. The formula is also suitable for the calculation of this quantity in general situations when it is essential to use kinetic theory and when the wave vectors K1 and K2 have arbitrary directions with respect to each other as well as to the external magnetic field. We also consider two earlier formulae for this response function and discuss advantages and disadvantages of the different expressions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 3 , December 1988 , pp. 385 - 397
Copyright
Copyright © Cambridge University Press 1988

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. 1986 J. Plasma Phys. 36, 97.CrossRefGoogle Scholar
Das, K. P. & Banerjee, D. 1976 J. Plasma Phys. 16, 95.CrossRefGoogle Scholar
Dum, C. T. & Ott, E. 1971 Plasma Phys. 13, 124.Google Scholar
Larsson, J. 1979 a J.Math. Phys. 20, 1321.CrossRefGoogle Scholar
Larsson, J. 1979 b J. Plasma Phys. 28, 215.CrossRefGoogle Scholar
Larsson, J. 1982 J. Plasma Phys. 28, 519.CrossRefGoogle Scholar
Larsson, J. & Stenflo, L. 1976 Beitr. Plasmaphys. 16, 79.CrossRefGoogle Scholar
Pustovalov, V. V. & Silin, V. P. 1975 Theory of Plasmas. Consultants Bureau.Google Scholar
Selim, A. A. 1978 J. Plasma Phys. 19, 405.CrossRefGoogle Scholar
Stenflo, L. 1971 Ann. Phys. (N.Y.) 27, 289.CrossRefGoogle Scholar
Tataronis, J. A. & Teichman, J. 1971 J. Plasma Phys. 6, 325.CrossRefGoogle Scholar