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Resistive evolution of a force-free plasma to equilibrium

Published online by Cambridge University Press:  13 March 2009

A. S. Gill  and
E. W. Laing
A. S. Gill
Affiliation:
Department of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, U.K.
E. W. Laing
Affiliation:
Department of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, U.K.
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Abstract

Using the magnetohydrodynamic model, the evolution of a resistive plasma can be represented as a relaxation through a sequence of force-free equilibrium states. We show, by extending existing work, that this process is equivalent to magnetic field diffusion in a strongly anisotropie static conductor. The latter evolution is easier to simulate numerically, and is carried out for laboratory based plasmas confined in cylinders and toroids. We obtain a variety of universal equilibrium profiles that are consistent with experiment and relaxation theory and that predict the existence of states arising in reversed-field pinches. The existence of a critical axial flux is predicted about which there exist stable modes of operation corresponding to high and low current. We also show the existence of a critical aspect ratio at which it is most desirable to build toroidal devices. This corresponds to the value at which maximum current, for a fixed driving field, can be generated.

Type
Research Article
Information
Journal of Plasma Physics , Volume 46 , Issue 3 , December 1991 , pp. 437 - 457
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Bodin, H. A. B. & Newton, A. A. 1980 Nucl. Fusion 20, 1255.Google Scholar
Cowling, T. G. 1933 Mon. Not. R. Astron. Soc. 94, 39.Google Scholar
Downie, T. G. 1982 Ph.D. thesis, Glasgow University.Google Scholar
Gimblett, C. G., Hall, P. J., Taylor, J. B. & Turner, M. F. 1987 Phys. Fluids 30, 3186.CrossRefGoogle Scholar
Hobbs, G. D. 1963 Culham Laboratory Report CLM-P19.Google Scholar
Hutchinson, I. H. 1976 Phys. Rev. Lett. 37, 338.CrossRefGoogle Scholar
Kirby, P. 1988 Phys. Fluids 31, 625.CrossRefGoogle Scholar
Lees, D. J. & Rusbridge, M. G. 1960 Proceedings of the 4th International Conference on Ionisation Phenomena in Gases, Uppsala, vol. 2, p. 954.Google Scholar
Rusbridge, M. G. & Lees, D. J. 1960 Magnetic Field Configurations in High Current Discharges: Atomic Energy Research Establishment Report AERE-R 3304.Google Scholar
Turner, L. & Prager, S. C. 1987 Phys. Fluids 30, 787.Google Scholar
Taylor, J. B. 1974 Phys. Rev. Lett. 33, 1139.CrossRefGoogle Scholar
Taylor, J. B. 1986 Rev. Mod. Phys. 58, 741.Google Scholar