Rigidity of MHD equilibria to smooth incompressible ideal motion near resonant surfaces

Pfefferlé, David; Noakes, Lyle; Zhou, Yao

doi:10.1088/1361-6587/ab8ca3

Rigidity of MHD equilibria to smooth incompressible ideal motion near resonant surfaces

Journal Article · Tue Jun 09 00:00:00 EDT 2020 · Plasma Physics and Controlled Fusion

DOI:https://doi.org/10.1088/1361-6587/ab8ca3· OSTI ID:1642917

^[1]; Noakes, Lyle ^[1]; Zhou, Yao ^[2]

Univ. of Western Australia, Perth, WA (Australia)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

In ideal MHD, the magnetic flux is advected by the plasma motion, freezing flux-surfaces into the flow. An MHD equilibrium is reached when the flow relaxes and force balance is achieved. We ask what classes of MHD equilibria can be accessed from a given initial state via smooth incompressible ideal motion. It is found that certain boundary displacements are formally not supported. This follows from yet another investigation of the Hahm–Kulsrud–Taylor (HKT) problem, which highlights the resonant behaviour near a rational layer formed by a set of degenerate critical points in the flux-function. When trying to retain the mirror symmetry of the flux-function with respect to the resonant layer, the vector field that generates the volume-preserving diffeomorphism vanishes at the identity to all order in the time-like path parameter.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1642917

Alternate ID(s):: OSTI ID: 23028773

Journal Information:: Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 7 Vol. 62; ISSN 0741-3335

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

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