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arXiv · 0811.3651

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

N. Arcis·N. F. Loureiro·F. Militello
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Abstract

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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N. Arcis, N. F. Loureiro, F. Militello. 2008-11-21. Influence of higher-order harmonics on the saturation of the tearing mode. https://doi.org/10.1088/0741-3335%2F51%2F3%2F035002

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