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The saturation of toroidal Alfv\'en eigenmodes (TAE) due to the effect of magnetohydrodynamic (MHD) nonlinearities is analyzed. The saturation level scales as (aR₀)5/2 (the ratio of the minor to the major radius of the torus), and for typical values of the inverse aspect ratio ε=aR₀, it is comparable with that predicted when the saturation mechanism is due to a nonlinear reduction in the energetic particle drive. The MHD saturation mechanism is thus expected to be potentially relevant to the nonlinear TAE dynamics.
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Zonca et al. (1995) studied this question.
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