Influence of higher-order harmonics on the saturation of the tearing mode

Details Influence of higher-order harmonics on the saturation of the tearing mode Influence of higher-order harmonics on the saturation of the tearing mode

2008-11-21

arxiv.org/abs/0811.3651v1

Physics

Plasma Physics

Accepted to Plasma Physics and Controlled Fusion

Scientific paper

10.1088/0741-3335/51/3/035002

The nonlinear saturation of the tearing mode is revisited in slab geometry by taking into account higher-order harmonics in the outer solution. The general formalism for tackling this problem in the case of a vanishing current gradient at the resonant surface is derived. It is shown that, although the higher-order harmonics lead to corrections in the final saturation equation, they are of higher order in the perturbation parameter, which provides a formal proof that the standard one-harmonic approach is asymptotically correct.

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