Abstract

The nonlinear growth for the m/n≥2 resistive tearing mode is studied in the case when the rational surface q(r0)=m/n falls in a regime of weak magnetic shear, q′(r0)≂0. The island width is determined self-consistently from the nonlinear, zero-helicity component of the perturbed magnetic flux that provides the local shear. It is found that the magnetic perturbation keeps growing exponentially in the nonlinear regime on a hybrid resistive-Alfvénic time scale, while the island width and the vorticity grow on a much slower time scale. Accordingly, much faster release of magnetic energy results for modes growing near minima of hollow q profiles.

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