Early nonlinear regime of MHD internal modes: the resistive case

Details Early nonlinear regime of MHD internal modes: the resistive case Early nonlinear regime of MHD internal modes: the resistive case

2005-11-14

arxiv.org/abs/physics/0511124v1

Phys. Lett. A, Vol. 342 (2005) 263-266

Physics

Plasma Physics

Scientific paper

10.1016/j.physleta.2005.05.052

It is shown that the critical layer analysis, involved in the linear theory of internal modes, can be extended continuously into the early nonlinear regime. For the m=1 resistive mode, the dynamical analysis involves two small parameters: the inverse of the magnetic Reynolds number S and the m=1 mode amplitude A, that measures the amount of nonlinearities in the system. The location of the instantaneous critical layer and the dominant dynamical equations inside it are evaluated self-consistently, as A increases and crosses some S-dependent thresholds. A special emphasis is put on the influence of the initial q-profile on the early nonlinear behavior. Predictions are given for a family of q-profiles, including the important low shear case, and shown to be consistent with recent experimental observations.

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