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A theory of the relaxation of tokamak discharges

Published online by Cambridge University Press:  13 March 2009

John E. Brandenburg
John E. Brandenburg
Affiliation:
Sandia National Laboratories, Albuquerque, New Mexico 87185, U.S.A.
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Abstract

Tokamak equilibria are considered as extremum magnetic-energy states. Two quadratic invariants ∫Ψd3x, and ∫A.Bd3x are found to yield finite-beta equilibria in toroidal geometry. The theory predicts ‘bell’-shaped current profiles for relaxed discharges at finite beta. A ‘main-sequence’ curve of ql/q0 versus βp is presented for circular discharges with low ql and is found to form a limiting curve for experimental data.

Type
Research Article
Information
Journal of Plasma Physics , Volume 43 , Issue 2 , April 1990 , pp. 283 - 290
Copyright
Copyright © Cambridge University Press 1990

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References

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