Conefield approach to identifying regions without flux surfaces for magnetic fields
Plasma Physics
2025-03-04 v2 Dynamical Systems
Abstract
The conefield variant of a Converse KAM method for 3D vector fields, identifying regions through which no invariant 2-tori pass transverse to a specified direction field, is tested on some helical perturbations of an axisymmetric magnetic field in toroidal geometry. This implementation computes bounds on the slopes of invariant tori of a given class and allows to apply a subsidiary criterion to extend the non-existence region, saving significant computation time. The method finds regions corresponding to magnetic islands and chaos for the fieldline flow.
Cite
@article{arxiv.2501.06796,
title = {Conefield approach to identifying regions without flux surfaces for magnetic fields},
author = {David Martinez-del-Rio and Robert S. MacKay},
journal= {arXiv preprint arXiv:2501.06796},
year = {2025}
}
Comments
21 pages, 12 figures