Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T14:25:48.991Z Has data issue: false hasContentIssue false

The influence of azimuthal motion on ion resonance instability for a non-neutral plasma column

Published online by Cambridge University Press:  13 March 2009

H. C. Chen
Affiliation:
Naval Surface Warfare Center, White Oak, Silver Spring, Maryland 20903, U.S.A.

Abstract

A general treatment of ion resonance instability for a non-neutral plasma column is performed using a macroscopic cold-fluid-Maxwell model. The azimuthal motion of the plasma components has an important influence on the behaviour of the instability. When the electrons are in slow rotational equilibrium, the instability occurs in both slow and fast ion rotational equilibrium. However, there is stability when the electrons are in fast rotational equilibrium except that the l = 1 mode becomes unstable and independent of plasma rotation. The kink (l = 1) mode only occurs when the plasma column boundary exceeds a certain threshold value that depends on the ratio of the plasma frequency to the cyclotron frequency.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1995

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

Chen, H. C. 1984 Limitation of accelerating process in the partly neutralized relativistic electron hollow beam. J. Appl. Phys. 56, 101107.CrossRefGoogle Scholar
Chen, H. C. & Palmadesso, P. J. 1981 Diocotron instability of a relativistic coaxial multi-ring hollow electron beam. Phys. Fluids 24, 357362.CrossRefGoogle Scholar
Davidson, R. C. 1990 Physics of Nonneutral Plasmas, Chap. 5. Addison-Wesley, Reading, Massachusetts.Google Scholar
Davidson, R. C. & Uhm, H. S. 1977 Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column. Phys. Fluids 20, 19381946.CrossRefGoogle Scholar
Davidson, R. C. & Uhm, H. S. 1978 Influence of finite ion Larmor radius effects on the ion resonance instability in a nonneutral plasma column. Phys. Fluids 21, 6071.CrossRefGoogle Scholar
Levy, R. H., Daugherty, J. D. & Buneman, O. 1969 Ion resonance instability in grossly nonneutral plasmas. Phys. Fluids 12, 26162629.CrossRefGoogle Scholar