It is derived from a simple model that the resistive kink mode grows algebraically W∝t2 for island size W exceeding the resistive layer width. The model only uses the properties of the linear eigenfunction and of current-sheet reconnection. Because of the geometry of the inflow velocity, the usual quasisingular behavior in the current sheet edge region vanishes. The theory is in quantitative agreement with high-S number numerical simulations.
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D. Biskamp (1991) studied this question.
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