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• W2023853427 abstract "The stability of very elongated field-reversed configurations is solved by an expansion in the small parameter ε (inverse elongation). It is first shown that all possible unstable modes have small growth rates (γ ∼ε). The internal tilt mode is considered in detail. An explicit form for δW in leading order is derived, and leads to a quadratic form including Hall terms. A sufficient condition for stability is obtained by minimizing δW, leading to a field-line ordinary differential equation. Sufficient stability conditions are obtained from this formulation, and indicate stability for S*/E&lt;2 (where S* is the ratio of separatrix radius to collisionless ion skin depth and E the elongation of the separatrix), if the local criterion is used. It is argued that a volume-averaged condition is more appropriate when finite ion orbit effects are included. This leads to S*/E&lt;3.5–4 for stability, independent of separatrix shape or xs (separatrix radius to wall radius at the midplane). This condition for stability compares favorably with experimental observations." @default.
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• W2023853427 date "2002-02-01" @default.
• W2023853427 modified "2023-09-24" @default.
• W2023853427 title "Stability of long field-reversed configurations" @default.
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• W2023853427 doi "https://doi.org/10.1063/1.1435425" @default.
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