Sufficient Conditions for Hydromagnetic Stability of a Diffuse Linear Pinch

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Abstract
From the energy principle a sufficient stability condition can be derived that involves a disposable function. The existence of some choice of the disposable function such as to satisfy the sufficient condition is a necessary condition for stability. The disposable function may also be chosen so as to yield sufficient conditions that are not necessary, but that may be useful from the points of view of simplicity and generality. This technique is illustrated for ``maximal‐force configurations,'' where the current density is everywhere orthogonal to the magnetic field.

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