Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. II. Circular axis stellarator solutions

We apply the near-axis expansion method for quasisymmetric magnetic fields with anisotropic pressure (developed in Paper I) [E. Rodriguez and A. Bhattacharjee, Phys. Plasmas 28, 012508 (2020)] to construct numerical solutions to circular axis stellarators. The solutions are found to second order in...

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Veröffentlicht in:Physics of plasmas 2021-01, Vol.28 (1)
Hauptverfasser: Rodríguez, E., Bhattacharjee, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We apply the near-axis expansion method for quasisymmetric magnetic fields with anisotropic pressure (developed in Paper I) [E. Rodriguez and A. Bhattacharjee, Phys. Plasmas 28, 012508 (2020)] to construct numerical solutions to circular axis stellarators. The solutions are found to second order in the distance from the axis, not possible in the standard Garren–Boozer construction [D. A. Garren and A. H. Boozer, Phys. Fluids B 3, 2822 (1991)], which assumes magnetostatic equilibria with isotropic pressure. In the limit of zero anisotropy, it is shown that a subset of coefficients can be chosen to avoid the overdetermination problem.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0027575