Bulletin of the American Physical Society
60th Annual Meeting of the APS Division of Plasma Physics
Volume 63, Number 11
Monday–Friday, November 5–9, 2018; Portland, Oregon
Session PP11: Poster Session VI: Relativistic Laser Plasma Interaction and Beam Physics; Boundary; MHD and Stability, Transients; FRC; Dusty Plasmas; Basic Studies; Computational and Diagnostic Methods (2:00pm-5:00pm)
Wednesday, November 7, 2018
OCC Room: Exhibit Hall A1&A
Abstract ID: BAPS.2018.DPP.PP11.66
Abstract: PP11.00066 : Nonsymmetric 3D vacuum magnetic fields with surfaces*
(New York Univ NYU)
In this work, we present three different approaches to the question of existence of flux surfaces in a vacuum magnetic field in a low shear stellerator. Our first approach is to demonstrate that a perturbation series in the amplitude of the non-symmetric components can be carried to all orders by carefully adding certain "resonant fields" as shown in (Weitzner2014). Next, we study small perturbations of an equilibrium with closed field lines. We show that stellarator symmetry plays a crucial role in ensuring existence of surfaces to all orders in the expansion. Finally, we attempt to solve the Cauchy problem by expanding in the distance from a rational flux surface following (Weitzner2016). Since rational surface is a characteristic surface of ideal MHD, we need consistency conditions on the Cauchy data on the lowest order surface. Through a careful examination of the differences in the underlying mathematical structures of the various ideal MHD systems, we show that suppressing magnetic resonances in vacuum fields is far more complicated and involved than force free or MHD with finite beta systems.
Weitzner, H. Physics of Plasmas (2014,2016)
*This work was supported by the U.S.Department of Energy Grant No. DE-FG02-86ER53223.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DPP.PP11.66
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