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Spectrum and stability of a rigidly rotating compressible plasma

Published online by Cambridge University Press:  01 July 1997

R. J. NIJBOER ,
A. E. LIFSCHITZ  and
J. P. GOEDBLOED
R. J. NIJBOER
Affiliation:
FOM – Institute for Plasma Physics Rijnhuizen, Edisonbaan 14, Postbus 1207, 3430 BE Nieuwegein, The Netherlands
A. E. LIFSCHITZ
Affiliation:
Department of Mathematics, Statistics and Computer Science, University of Illinois, Chicago, Illinois 60607, USA
J. P. GOEDBLOED
Affiliation:
FOM – Institute for Plasma Physics Rijnhuizen, Edisonbaan 14, Postbus 1207, 3430 BE Nieuwegein, The Netherlands
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Abstract

We consider the spectrum and stability of a compressible, rigidly rotating plasma column with constant magnetic pitch. It is found that when the pressure on axis is zero, a continuous spectrum arises, which may become unstable. When the pressure on axis is finite or a conducting core is included, the spectrum is discrete, but may still be unstable. The instability is due to the poloidal magnetic field and/or the rotation of the cylinder in combination with the density profile. It is found numerically that the pressure stabilizes both types of instabilities.

Type
Research Article
Information
Journal of Plasma Physics , Volume 58 , Issue 1 , July 1997 , pp. 101 - 121
Copyright
1997 Cambridge University Press

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