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Author: Harold Weitzner
Requested Type: Poster
Submitted: 2016-02-14 13:46:37


Contact Info:
New York University
251 Mercer St.
New York City, New York   10538

Abstract Text:
Expansions of non-symmetric toroidal ideal MHD equilibria about a magnetic axis are examined two cases, with and without toroidal curvature. In both cases the poloidal cross sections of the flux surfaces are assumed approximately circular. Without toroidal curvature effects, it is straightforward to expand in a parameter, the net magnetic flux from the magnetic axis. Suppose in some order a combination of lower terms leads to a combination in magnetic resonance, potentially destroying the possibility of a smooth equilibrium without singularities or discontinuities . It is shown that one can add in lower order a single mode in magnetic resonance, which exactly suppresses the combination in magnetic resonance in higher order, The condition that the cancellation be possible in all orders is that one given lowest order equilibrium quantity be non-zero. When toroidal curvature effects are included, one can still follow the same program and add a lower order resonant mode. However, the conditions that one can suppress the resonant combination are more complex and depend in greater detail on the equilibrium state in question. It is extremely likely that the elimination of resonances remains possible, but the results are more intricate. Details will be given.