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Equilibrium profiles of (a) the safety factor and current density , and (b) the angular frequency and vorticity . resonances are indicated by dotted lines.
(a) Linear growth rate and (b) rotation frequency for the modes , (6, 3), and (12, 6), in dependence of the core rotation parameter . The effective and specific shearing rates, and , are plotted as dash-dotted lines. In (c), spectra of linear growth rates are shown for three cases with : stationary, stabilized, destabilized. A spectrum obtained with a narrower shear layer is also shown (, ).
Linear eigenmode structures for [(a) and (b)] and (20, 10) [(c) and (d)]. The flow parameters are , , and . Flux and potential are decomposed into magnitude and complex phases as . Vertical dotted lines indicate resonant surfaces.
Snapshots of nonlinear dynamics at (a) and (b) . Top: profiles. Dotted lines indicate the original resonant radii. Middle: profiles. Bottom: helical magnetic flux contours in the plane.
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