Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T03:16:48.444Z Has data issue: false hasContentIssue false
  • English
  • Français

An analytical method for the investigation of instability of a collisionless plasma in strong magnetic fields

Published online by Cambridge University Press:  13 March 2009

V. U. Zakharov
V. U. Zakharov
Affiliation:
Mathematics Department, N. Bauman moscow State technical University, Bazhenova 4, Kaluga 248600, Russia
Get access Rights & Permissions [Opens in a new window]

Extract

An analytical method for the investigation of special types of dispersion relations is presented. In particular, analysis of the propagation of small- amplitude hydromagnetic waves in a collisionless plasma in a strong magnetic field leads to such dispersion relations. The fifth-degree dispersion relation corresponding to a particular case is considered. The necessary stability condition for a steady state and conditions for the degeneration of small- amplitude waves are derived. A comparison with other methods for the analysis of similar dispersion relations is also presented.

Type
Articles
Information
Journal of Plasma Physics , Volume 50 , Issue 2 , October 1993 , pp. 185 - 189
Copyright
Copyright © Cambridge University Press 1993

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

Chew, G. F., Goldberger, M. L. & Low, F. E. 1956 Proc. B. Soc. Lond. A 236, 112.Google Scholar
De La Torre, A. & Duhau, S. 1985 J. Plasma Phys. 34, 67.Google Scholar
De La Torre, A. & Duhau, S. 1989 J. Plasma Phys. 41, 107.CrossRefGoogle Scholar
Duhau, S. 1984 J. Plasma Phys. 32, 23.CrossRefGoogle Scholar
Namikawa, T. & Hamabata, H. 1981 J. Plasma Phys. 26, 95.CrossRefGoogle Scholar
Oraevskii, V., Chodura, R. & Feneberg, V. 1968 Plasma Phys. 10, 819.CrossRefGoogle Scholar
Vedenov, A. A. & Sagdeev, R. Z. 1958 Plasma Physics and Problems of Controlled Thermonuclear Reactions. Academy of Sciences of the U.S.S.R.Google Scholar
Whang, Y. C. 1971 Astrophys. J. 178, 221.CrossRefGoogle Scholar
Zakharov, V. U. 1988 Problems in the Magnelohydrodynamics of a Collisionless Plasma in a Strong Magnetic Field. Moscow State University Publishing House.Google Scholar