Asymptotic theory of magnetic island saturation in equilibria with a finite current gradient
classification
⚛️ physics.plasm-ph
keywords
asymptoticislandmagneticcurrentfinitegradientmatchingsaturation
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A novel asymptotic matching procedure is developed to revisit the problem of magnetic island saturation in case of a finite current gradient at the rational surface. Nonlinear dispersion relation is derived for saturated magnetic island. It is shown that arbitrary normalization factors that were present in previous theories are fully specified with the asymptotic matching.
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