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A specific straight tokamak equilibrium surrounded by vacuum and without a conducting wall is proved to be stable to all ideal magnetohydrodynamic (MHD) modes by analytically evaluating linear stability. A circular-cylindrically symmetric equilibrium which has a piecewise constant current profile is analysed. The effect of corrugation, which is of great importance to the stability of axisymmetric modes, is taken into account by using perturbation methods. Stability of axisymmetric modes is proved by solving the eigenvalue problem up to second order in the corrugation amplitude. To treat nonaxisymmetric global modes, the potential energy is evaluated using tokamak scaling.

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Authors: LORTZ D, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE);ZEILER A, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Article: Phys. Plasmas, Vol. 1 (1994) No. 3, pp. 670-681
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