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A stability criterion is derived for energetic particle-Alfvén modes. The criterion is valid for arbitrary aspect ratio, arbitrary β, noncircular, axisymmetric tori. The plasma is modeled by a magnetohydrodynamic (MHD) core plus a fully kinetic Vlasov species of hot particles. Electron kinetic effects are neglected. In spite of the complexity associated with the analysis of the Vlasov species, a simple but exact stability boundary is derived. The criterion is very fluidlike in nature, suggesting that accurate evaluation in realistic geometries can be accomplished with perhaps only minor modifications to any one of the existing ideal MHD stability codes.
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Betti et al. (1991) studied this question.
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