Abstract
An intrinsic consequence of the three-dimensional nature of the stellarator equilibrium may be the existence of local flattening of the pressure profile at the resonant surfaces. This local flattening of the pressure profile significantly changes the stability properties. The localized interchange modes are stabilized, and a new instability branch controls the critical beta. This instability is strongly stabilized by shear at high poloidal mode numbers. As a consequence, the plasma stability properties change, and the asymptotically derived local stability criteria often used in stellarator design are no longer applicable.
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