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Author: Harold Weitzner
Requested Type: Poster
Submitted: 2018-02-28 19:30:39

Co-authors: Wrick Sengupta

Contact Info:
New York University
251 Mercer St.
New York City, New York   10012

Abstract Text:
The ideal magnetohydrodynamic equilibrium representation introduced in Phys. Plasmas 21,
022515 (2014) is used to describe an equilibrium near the magnetic axis in a topological torus with a space curve periodic in the z coordinate as the magnetic axis. The first few terms in the series expansion in the distance from the axis are evaluated, and the magnitude of the magnetic field, B, is determined. Provided that B is a non-constant function of z, a condition shown to be easily satisfied, the field is quasisymmetric, and thus also omnigenous, except on planes on which B is stationary. If B is independent of the angle theta on those planes, the field is quasi symmetric everywhere. The necessary condition for that result is also given. The ability to expand the equilibrium to all orders is also given.
Work supported by US. DOE under grant DE-FG02-86ER53223