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Effect of perturbation theory on the spectrum of ideal magnetohydrodynamic and guiding centre plasmas

Published online by Cambridge University Press:  13 March 2009

John Ambrosiano  and
George Vahala
John Ambrosiano
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Va. 23185
George Vahala
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Va. 23185
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Abstract

For a high β screw pinch it is shown explicitly how the perturbation theory distorts the spectrum of ideal magnetohydrodynamics and guiding centre plasmas. In particular it is seen why the Cauchy integrals (present in the nonperturbative linearized guiding centre plasma model, and which are necessary for the isotropic pressure guiding centre plasma eigenvalue problem to differ from that for magnetohydrodynamics) are absent in the perturbation theory. This result holds also for axially and helically symmetric systems. The distortions in the m = 1 growth rates are also presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 3 , June 1979 , pp. 537 - 547
Copyright
Copyright © Cambridge University Press 1979

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References

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