Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T03:49:59.583Z Has data issue: false hasContentIssue false
  • English
  • Français

Low frequency response of a resistive plasma to axially independent or axisymmetric perturbations

Published online by Cambridge University Press:  13 March 2009

Torkil H. Jensen  and
W. B. Thompson
Torkil H. Jensen
Affiliation:
General Atomic Company, San Diego, California, U.S.A.
W. B. Thompson
Affiliation:
General Atomic Company, San Diego, California, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

A formalism is described which permits calculation of the low frequency response of a resistive plasma with non-circular cross-section in magnetohydrodynamic equilibrium to an externally imposed current field in the direction of the ignorable co-ordinate. This formalism is limited to slow variations on the resistive penetration or ‘skin’ time-scale and eliminates rapid motions at the hydrodynamic rate. It is useful for calculating the effectiveness of low frequency Ohmic heating and for the study of feedback stabilization. It also determines stability criteria and gives estimates of growth rates. The presence of a hyperbolic axis in the Doublet configuration makes the incorporation of a finite resistivity in the treatment important.

Type
Research Article
Information
Journal of Plasma Physics , Volume 19 , Issue 2 , April 1978 , pp. 227 - 235
Copyright
Copyright © Cambridge University Press 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Barston, E. M. 1969 Phys. Fluids, 12, 2162.CrossRefGoogle Scholar
Chu, M. S. & Miller, R. L. 1977 Phys. Fluids, 20.Google Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. N. 1963 Phys. Fluids, 6, 459.CrossRefGoogle Scholar
Grad, H. 1970 Proceedings of International Congress of Mathematicians, Nice, vol. 3, p. 105.Google Scholar
Grad, H. & Hogan, J. 1970 Phys. Rev. Lett. 24, 1337.CrossRefGoogle Scholar
Luxon, J. L., Jensen, T. H. & Wesley, J. C. 1976 Bull. Am. Phys. Soc. 21,1053.Google Scholar
Tasso, H. 1975 Plasma Phys. 17, 1131.Google Scholar
Taylor, J. B. Unpublished Culham Report, 1975.Google Scholar