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Stabilizing and destabilizing influence of the Hall effect in a Z pinch with a step-like volume current profile

Published online by Cambridge University Press:  13 March 2009

Ulrich Schaper
Ulrich Schaper
Affiliation:
Institut für Theoretische Physik, Universität Düsseldorf, West Germany
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Abstract

A dispersion relation is derived for axisymmetric perturbations of an infinitely extended circular incompressible Z pinch with a step-like volume current profile. This profile is characterized by constant but different volume currents in different regions of the plasma and at the step surface there is a sheet current. The stability boundaries are shifted compared with stability limits in ideal MHD theory. For equilibria with no current reversal there is a new stable range whereas for equilibria with current reversal there is a new unstable range. The number of solutions of the dispersion relation depends on the equilibrium. The behaviour of the eigenvalues near the stability boundaries is treated in accordance with bifurcation theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 1 , August 1983 , pp. 169 - 178
Copyright
Copyright © Cambridge University Press 1983

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References

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