Elimination of MHD current sheets by modifications to the plasma wall in a fixed boundary model

E. Kim, G. B. McFadden, A. J. Cerfon

Research output: Contribution to journalArticlepeer-review


Models of magnetohydrodynamic (MHD) equilibia that for computational convenience assume the existence of a system of nested magnetic flux surfaces tend to exhibit singular current sheets. These sheets are located on resonant flux surfaces that are associated with rational values of the rotational transform. We study the possibility of eliminating these singularities by suitable modifications of the plasma boundary, which we prescribe in a fixed boundary setting. We find that relatively straightforward iterative procedures can be used to eliminate weak current sheets that are generated at resonant flux surfaces by the nonlinear interactions of resonating wall harmonics. These types of procedures may prove useful in the design of fusion devices with configurations that enjoy improved stability and transport properties.

Original languageEnglish (US)
Article number044002
JournalPlasma Physics and Controlled Fusion
Issue number4
StatePublished - 2020


  • Magnetohydrodynamic equilibria
  • Nested flux surfaces
  • Nonlinear mode coupling
  • Rational rotational transform
  • Singular current sheets

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Condensed Matter Physics


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