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- W2019294029 abstract "One of the most fundamental properties of ideal magnetohydrodynamics is the condition that plasma motion cannot change magnetic topology. The conventional representation of ideal magnetohydrodynamic modes by perturbing a toroidal equilibrium field through δB→=∇×(ξ→×B→) ensures that δB→·∇ψ=0 at a resonance, with ψ labelling an equilibrium flux surface. Also useful for the analysis of guiding center orbits in a perturbed field is the representation δB→=∇×αB→. These two representations are equivalent, but the vanishing of δB→·∇ψ at a resonance is necessary but not sufficient for the preservation of field line topology, and a indiscriminate use of either perturbation in fact destroys the original equilibrium flux topology. It is necessary to find the perturbed field to all orders in ξ→ to conserve the original topology. The effect of using linearized perturbations on stability and growth rate calculations is discussed." @default.
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- W2019294029 date "2013-02-01" @default.
- W2019294029 modified "2023-09-23" @default.
- W2019294029 title "Representation of ideal magnetohydrodynamic modes" @default.
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- W2019294029 doi "https://doi.org/10.1063/1.4791661" @default.
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