A sharp-pinch model of a dense constant-pressure plasma surrounded by a pressureless plasma with force-free magnetic fields of constant α is shown to be completely magnetohydrodynamically stable with respect to kinks, surface-layer modes, and modes of the pressureless plasma. Its property of having a high shear will also suppress Suydam modes.
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J. P. Goedbloed (1970) studied this question.
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