Some mathematics for quasi-symmetry

Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-center motion by a spatial symmetry. Here, we derive many restrictions on the possibilities for a quasi-symmetry. We also derive an analog of the Grad–Shafranov equation for the flux function in a quasi-symmetric ma...

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Bibliographic Details
Published in	Journal of mathematical physics Vol. 61; no. 9
Main Authors	Burby, J. W., Kallinikos, N., MacKay, R. S.
Format	Journal Article
Language	English
Published	01.09.2020
Online Access	Get full text

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Summary:	Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-center motion by a spatial symmetry. Here, we derive many restrictions on the possibilities for a quasi-symmetry. We also derive an analog of the Grad–Shafranov equation for the flux function in a quasi-symmetric magnetohydrostatic field.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.5142487