Perturbative approach to the nonlinear saturation of the tearing mode for any current gradient - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2005

Perturbative approach to the nonlinear saturation of the tearing mode for any current gradient

Résumé

Within the traditional frame of reduced MHD, a new rigorous perturbation expansion provides the equation ruling the nonlinear growth and saturation of the tearing mode for any current gradient. The small parameter is the magnetic island width w. For the first time, the final equation displays at once terms of order w ln(1/w) and w which have the same magnitude for practical purposes; two new O(w) terms involve the current gradient. The technique is applicable to the case of an external forcing. The solution for a static forcing is computed explicitly and it exhibits three physical regimes.

Dates et versions

hal-00010089 , version 1 (09-10-2005)

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N. Arcis, D. F. Escande, M. Ottaviani. Perturbative approach to the nonlinear saturation of the tearing mode for any current gradient. 2005. ⟨hal-00010089⟩
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