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A useful method for studying localised resistive instabilities in toroidal equilibria at and near the ideal stability limit is presented. In particular, a valuable relation is given explicitly which allows direct calculation of the resistive growth rate at the ideal ballooning limit in terms of line-averaged equilibrium quantities. The method, which is valid not only for axisymmetric equilibria but also for toroidal, non-symmetric 3-D configurations, is derived without making any of the usual restricting assumptions such as small inverse aspect ratio, low pressure etc. The actual evaluation of stability criteria and dispersion relations is illustrated by studying the stability of typical INTOR equilibria with respect to localised ideal and resistive modes. Configurations which are stable with respect to ideal ballooning modes (and are therefore also Mercier stable) are shown to be unstable with respect to resistive ballooning instabilities and the corresponding growth rates are calculated. When the Mercier exponent exceeds the value 1/2, a new dispersion relation for a model equation is derived.

Additional information

Authors: CORREA-RESTREPO D, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Article: Plasma Physics and Controlled Fusion, Vol, 31 (1989), No.3, pp. 435-451
Record Number: 198910676 / Last updated on: 1994-12-01
Original language: en
Available languages: en