A Force-Free Magnetic Field Solution in Cyclidal Coordinates
arXiv:2310.17673
Abstract
There are no known analytic solutions to the force-free magnetic field equations in coordinates representing Dupin cyclides. The fact that the curvature lines of Dupin cyclides are all circles is used here to derive a force-free magnetic field on the surface of an elliptic Dupin cyclide.
19 pages, 9 figures. Followon to arXiv 2305.15455