Hostname: page-component-7479d7b7d-k7p5g Total loading time: 0 Render date: 2024-07-08T06:49:17.777Z Has data issue: false hasContentIssue false

Stability of a positive column in the presence of an axial magnetic field

Published online by Cambridge University Press:  13 March 2009

Mahinder S. Uberoi
Affiliation:
University of Colorado, Boulder, Colorado 80309
Chuen-Yen Chow
Affiliation:
University of Colorado, Boulder, Colorado 80309

Abstract

Self-consistent infinitesimal perturbations of electron density and electric field are used to analyse the stability of the plasma. The axisymmetric perturbations are stable for any magnetic and electric field strengths. The non-axisymmetric perturbations with azimuthal modes m ≥ 1 and less than a certain integer are unstable for certain ranges of magnetic and electric fields. The mode m = 2 can be more unstable than the mode m = 1. Previous analysis by other authors was confined to the case m = 1 and the perturbations were not self-consistent. Our results differ significantly from the earlier results.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

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

Hoh, F. C. & Lehnert, B. 1959 Proceedings of the Fourth International Conference on Ionization Phenomena in Gases, Uppsala, Report IIIb, p. 25.Google Scholar
Kadomtsev, B. B. & Nedospasov, A. V. 1960 J. Nucl. Energy, Part C, Plasma Physics, 1, 230.Google Scholar
Lehnert, B. 1959 Proceedings of 2nd International Conference on the Peaceful Uses of Atomic Energy, Geneva, p. 146.Google Scholar
Moser, F. 1975 Plasma Phys. 17, 799.Google Scholar