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Stability of cylindrical rotating plasmas to axisymmetric electrostatic perturbations

Published online by Cambridge University Press:  13 March 2009

E. M. Barston
E. M. Barston
Affiliation:
Department of Mathematics, University of Illinois at Chicago Circle, Chicago, Illinois 60680
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Extract

Necessary and sufficient conditions for the exponential stability of an N-component, warm or cold, rotating cylindrical plasma to axisymmetric electrostatic perturbations are obtained. The plasma is immersed in an axial magnetic field B0(r), where r is the radial co-ordinate, and the equilibrium quantities are permitted to be arbitrary functions of r consistent with the 0-order equations. The maximal growth rate of an unstable system is shown to be determined by a maximum principle.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 3 , June 1977 , pp. 409 - 418
Copyright
Copyright © Cambridge University Press 1977

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References

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