Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-06T04:15:56.218Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-linear theory in the non-resonant region†

Published online by Cambridge University Press:  13 March 2009

Stephen E. Bodner
Stephen E. Bodner
Affiliation:
Lawrence Radiation Laboratory, University of California, Livermore, California
Get access Rights & Permissions [Opens in a new window]

Extract

By solving for the changes 〈Δν〉 and 〈ΔνΔν〉 for a particle, it is shown that there is no diffusion equation for non-resonant particles when the electric field wave is damping. By indirect means it is then shown for this case that the appropriate quasi-linear solution for ƒ1(к, ν, t) is proportional to ∂ƒ0(ν, 0)/∂ν rather than ∂ƒ(ν, t)/∂ν.

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 1 , January 1971 , pp. 141 - 144
Copyright
Copyright © Cambridge University Press 1971

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

Al'Tshul', L. M. & Karpman, V. I. 1966 Soviet Phys. J.E.T.P. 22, 361.Google Scholar
Bernstein, I. B. & Engelmann, F. 1966 Phys. Fluids. 9, 937.CrossRefGoogle Scholar
Chang, D. B. 1964 Phys. Fluids 7, 1980.CrossRefGoogle Scholar
Klozenberg, J. P. & Bernstein, I. B. 1970 J. Plasma Phys. 4, 595.CrossRefGoogle Scholar
Montgomery, D. 1971 J. Plasma Phys.Google Scholar
Sagdeev, D. & Galeev, A. 1969 Nonlinear Plasma Theory, O'Neil, T. and Book, D., Eds. Now York: W. A. Benjamin.Google Scholar
Vahala, G. & Montgomery, D. 1970 J. Plasma Phys. 4, 677.CrossRefGoogle Scholar