Previous work has shown the β = 1 theta pinch to be stable for the mode m = 1 and unstable for m > 1. It is shown that a periodic theta pinch having a radius R(z) = R0 [1 + δf(z)], where δ ≪ 1, can be dynamically stabilized for m ≪ 1/δ.
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Wesson et al. (1969) studied this question.
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