Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth
Plasma Physics
2020-07-10 v1
Abstract
We present a sawtooth model that explains observations where the central safety factor, , stays well below one, which is irreconcilable with current models that predict a reset to after the crash. We identify the structure of the field around the magnetic axis with elements of the Lie group and find a transition to an alternating-hyperbolic geometry when . This transition is driven by an ideal MHD instability and leads to a chaotic magnetic field near the axis.
Keywords
Cite
@article{arxiv.2007.04529,
title = {Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth},
author = {C. B. Smiet and G. J. Kramer and S. R. Hudson},
journal= {arXiv preprint arXiv:2007.04529},
year = {2020}
}