Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T14:28:03.008Z Has data issue: false hasContentIssue false
  • English
  • Français

The instability of hydrodynamic longitudinal oscillations in a non-uniform magnetoactive plasma

Published online by Cambridge University Press:  13 March 2009

V. V. Demchenko  and
I. A. El-Naggar
V. V. Demchenko
Affiliation:
Atomic Energy Establishment, Cairo
I. A. El-Naggar
Affiliation:
Atomic Energy Establishment, Cairo
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of hydrodynamic longitudinal oscillations of an inhomogeneous magnetoactive plasma is analysed. If the non-uniformity of density is taken into account, it is shown to result in parametric-like instability at sub- and ultra- harmonics of natural plasma oscillation frequencies. The conditions for the development of unstable oscillations and their growth rates are determined.

Type
Research Article
Information
Journal of Plasma Physics , Volume 8 , Issue 3 , December 1972 , pp. 387 - 391
Copyright
Copyright © Cambridge University Press 1972

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

Aliev, Yu. M. & Zyunder, D. 1969 Zh. tekh. Eksp. Fiz. 57, 1324.Google Scholar
Andreev, N. E., Kyrse, A. Yu. & Silin, V. P. 1969 Proc. 9th Int. Conf. Phenomena in Ionized Gases, Bucharest, p. 543.Google Scholar
Demchenko, V. V. & El-Nagger, I. A. 1971 Nucl. Fusion, 11, 457.CrossRefGoogle Scholar
Demchenko, V. V. & Stepanov, K. N. 1969 Ukr. Fiz. Zh. 14, 1020.Google Scholar
Hayashi, T. 1968 Nonlinear Oscillations in Physical Systems. Moscow: Mir.Google Scholar
Mandelstamm, L. I. 1947 Complete Works, vol. 2, p. 7. AN SSSR.Google Scholar
Silin, V. P. 1968 A Survey of Phenomena in Ionized Gases, I.A.E.I. Vienna, p. 205.Google Scholar
Sizonenkno, V. L. & Stepanov, K. N. 1969 Proc. 9th Int. Conf. Phenomena in Ionized Gases, Bucharest, p. 519.Google Scholar
Whittaker, E. T. & Watson, G. N. 1962 A Course of Modern Analysis (4th edn.). Cambridge University Press.Google Scholar