Characterization of admissible quasisymmetries
We solve ‘half’ the problem of finding three-dimensional quasisymmetric magnetic fields that do not necessarily satisfy magnetohydrostatic force balance. This involves determining which hidden symmetries are admissible as quasisymmetries, and then showing explicitly how to construct quasisymmetric magnetic fields given an admissible symmetry. The admissibility conditions take the form of a system of overdetermined nonlinear partial differential equations involving second derivatives of the symmetry's infinitesimal generator.
Authors
- N. Kallinikos (ORCID: https://orcid.org/0000-0003-3324-4223)
- Robert S. MacKay (ORCID: https://orcid.org/0000-0003-4771-3692)
- David Pfefferlé (ORCID: https://orcid.org/0000-0002-1071-6614)
- J. W. Burby (ORCID: https://orcid.org/0000-0003-1772-7647)
- David Perrella (ORCID: https://orcid.org/0000-0002-0869-134X)
Institutions
- The University of Western Australia (AU)
- University of Warwick (GB)
- The University of Texas at Austin (US)
Publication Details
- Journal
- Journal of Plasma Physics
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1017/s0022377824001478
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- U.S. Department of Energy
- Simons Foundation
- Fusion Energy Sciences