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On the stability of the screw pinch in the CGL model†

Published online by Cambridge University Press:  13 March 2009

Krishna M. Srivastava  and
F. Waelbroeck
Krishna M. Srivastava
Affiliation:
Institut für Plasmaphysik der Kernforschungsanlage JülichGmbH Association EURATOM-KFA
F. Waelbroeck
Affiliation:
Institut für Plasmaphysik der Kernforschungsanlage JülichGmbH Association EURATOM-KFA
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Abstract

We have investigated the stability of the screw pinch with the help of the double adiabatic (CGL) equations including the finite Larmor radius effects through the anisotropic pressure tensor. The calculations are approximate, with FLR treated as a first-order correction to the ideal plasma equations. The dispersion relation has been solved for various values of R2 = p∥/p⊥ and α for the rale and imaginary part of the frequency (ω = ωR ± iωI) in three particular cases: (a) μ = 0, the θ-pinch, (b) μ = ∞, the Z-pinch, (c) μ = -α/m, field distubances parallel to the equilibrium field. Here μ is the pitch of the magnetic field in the pressureless plasma surrounding the main column, α is the wave number, m is the azimuthal number, p∥ and p⊥ are plasma pressures along and perpendicular to the magnetic field.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 261 - 283
Copyright
Copyright © Cambridge University Press 1976

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References

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