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Nonlinear growth of strongly unstable tearing modes

Published online by Cambridge University Press:  13 March 2009

F. L. Waelbroeck
F. L. Waelbroeck
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, U.S.A.
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Abstract

Rutherford's theory of the tearing instability is extended to cases where current nonlinearities are important, such as long-wavelength modes in current slabs and the m = 1 instability in tokamaks with moderately large aspect ratios. Of particular interest is the possibility that the associated magnetic islands, as a result of secondary instabilities, have a singular response to the Ohmic diffusion of the current. A family of islands is used to test this possibility; it is found that the response remains bounded.

Type
Research Article
Information
Journal of Plasma Physics , Volume 50 , Issue 3 , December 1993 , pp. 477 - 494
Copyright
Copyright © Cambridge University Press 1993

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