In:
Journal of Plasma Physics, Cambridge University Press (CUP), Vol. 87, No. 2 ( 2021-04)
Kurzfassung:
While several results have pointed to the existence of exactly quasisymmetric fields on a surface (Garren & Boozer, Phys. Fluids B, vol. 3, 1991, pp. 2805–2821; 2822–2834; Plunk & Helander, J. Plasma Phys. , vol. 84, 2018, 905840205), we have obtained the first such solutions using a vacuum surface expansion formalism. We obtain a single nonlinear parabolic partial differential equation for a function $\eta$ such the field strength satisfies $B = B(\eta )$ . Closed-form solutions are obtained in cylindrical, slab and isodynamic geometries. Numerical solutions of the full nonlinear equations in general axisymmetric toroidal geometry are obtained, resulting in a class of quasihelical local vacuum equilibria near an axisymmetric surface. The analytic models provide additional insight into general features of the nonlinear solutions, such as localization of the surface perturbations on the inboard side. The local solutions thus obtained can be continued globally only for special initial surfaces.
Materialart:
Online-Ressource
ISSN:
0022-3778
,
1469-7807
DOI:
10.1017/S0022377821000039
Sprache:
Englisch
Verlag:
Cambridge University Press (CUP)
Publikationsdatum:
2021
ZDB Id:
2004297-8
