Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-29T13:17:39.518Z Has data issue: false hasContentIssue false

Comment on revised quasilinear equations dealing with wave-number spectra

Published online by Cambridge University Press:  13 March 2009

Barbara Abraham-Shrauner
Affiliation:
Department of Electrical Engineering, Washington University, St Louis, Missouri 63130, U.S.A.

Extract

We wish to point out that the revised quasilinear equations found recently by Klozenberg & Bernstein (1970) for continuous wave-number spectra, which are a simplified version of those derived by us for discrete wave spectra (Abraham-Shrauner 1970), can be derived easily from the conventional quasilinear equations (Drummond & Pines 1962; Vedenov, Veliklov & Sagdeev 1962) by analytic continuation. The analytic continuation is the same type used in discussions of the plasma dispersion relation for the linearized Vlasov equation and of the weakly unstable kinetic equation (Balescu 1963; Rogister & Obermann 1969).

Type
Articles
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

Abraham-Shrauner, B. 1970 Submitted for publication to Physics Fluids.Google Scholar
Balescu, B. 1963 Statistical Mechanics of Charged Particles. New York: Interscience Publishers.Google Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion Suppl. Pt. 3, 104a.Google Scholar
Klozenberg, J. P. & Bernstein, I. B. 1970 J. Plasma Phys. 4, 595.CrossRefGoogle Scholar
Montgomery, D. & Bodner, S. 1971 J. Plasma Phys. 5, 131.CrossRefGoogle Scholar
Rogister, A. & Obermann, C. 1969 J. Plasma Phys. 3, 119.CrossRefGoogle Scholar
Vedenov, A. A., Veliklov, E. P. & Sagdeev, R. Z. 1962 Nucl. Fusion Suppl. Pt. 2, 465.Google Scholar