Quasi-linear evolution of tearing modes

Abstract
The growth of a tearing instability in Rutherford's non-linear regime is investigated. Using a singular perturbations technique, we recover to lowest order Rutherford's result. To the following order we show that the mode generates a quasi-linear deformation of the equilibrium flux profile, whose resistive diffusion slows down the growth and shows the possibility of a saturation of the instability

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