Abstract
A new eigen-mode equation for the tokamak high-n (the toroidalmode number) ideal magnetohydrodynamic (MHD) ballooning mode in tokamakplasmas is derived to include the toroidal effects that are significantfor stability of configurations with internal transport barriers(ITBs). For tokamak equilibria of shift circular flux surfaces, thesetoroidal effects basically are the finite inverse aspect ratio and theShafranov shift. The former yields the averaged favourable curvaturestabilization while the latter further strengthens this effect, leadingto a low shear stable channel connecting the first and second stabilityregions, and to the shrinkage of unstable region in the (s,α)diagram. The dependence of the critical shear, below which the plasma isstable, on these effects is given. These results are important forunderstanding the ITB physics in some regards.
Published Version
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