Necessary and sufficient conditions for quasisymmetry

Rodríguez, E.; Helander, P.; Bhattacharjee, A.

doi:10.1063/5.0008551

Necessary and sufficient conditions for quasisymmetry

Journal Article · Mon Jun 01 00:00:00 EDT 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0008551· OSTI ID:1646639

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Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Max Planck Inst. for Plasma Physics, Greifswald (Germany)

A necessary and sufficient set of conditions for a quasisymmetric magnetic field in the form of constraint equations is derived from first principles. Without any assumption regarding the magnetohydrodynamic (MHD) equilibrium of the plasma, conditions for quasisymmetry are constructed starting from the single-particle Lagrangian to the leading order. The conditions presented in the paper are less restrictive than the set recently obtained by Burby et al. [“Some mathematics for quasi-symmetry,” arXiv:1912.06468 (2019)], and could facilitate ongoing efforts toward investigating the existence of global quasisymmetric MHD equilibria. Finally, it is also shown that quasisymmetry implies the existence of flux surfaces, regardless of whether the field corresponds to an MHD equilibrium.

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: Simons Foundation; USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1646639

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 27; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (10)

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Cited By (2)

Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. II. Circular axis stellarator solutions Rodríguez, E.; Bhattacharjee, A. Physics of Plasmas, Vol. 28, Issue 1 https://doi.org/10.1063/5.0027575	journal	January 2021
Solving the problem of overdetermination of quasisymmetric equilbrium solutions by near-axis expansions: I. Generalised force balance Rodriguez, Eduardo; Bhattacharjee, Amitava arXiv https://doi.org/10.48550/arxiv.2008.04715	text	January 2020

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