Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1. Solutions near an axisymmetric surface

Wrick Sengupta, Elizabeth J. Paul, Harold Weitzner, Amitava Bhattacharjee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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 such the field strength satisfies. 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.

Original languageEnglish (US)
Article number905870205
JournalJournal of Plasma Physics
DOIs
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Keywords

  • fusion plasma
  • plasma confinement
  • plasma devices

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