Abstract
The stability criterion of a magnetized plasma with respect to interchange in a sheared configuration was reexamined. By retaining the finite growth rate, the singularity at the magnetic surface, where the perturbation is constant along the magnetic line, is removed. The resultant wave equation yields the result that the Suydam condition is both a necessary and a sufficient condition for stability at least for the plasma pressure less than (1−Δ) βc. Here, βc is the maximum β for the original Suydam criterion and Δ is a small positive number (less than 0.03), which presumably can be made arbitrarily small by improving the numerical approximation.
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