Existence of three-dimensional ideal-magnetohydrodynamic equilibria with current sheets

J. Loizu, S. R. Hudson, A. Bhattacharjee, S. Lazerson, P. Helander

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We consider the linear and nonlinear ideal plasma response to a boundary perturbation in a screw pinch. We demonstrate that three-dimensional, ideal-MHD equilibria with continuously nested flux-surfaces and with discontinuous rotational-transform across the resonant rational-surfaces are well defined and can be computed both perturbatively and using fully nonlinear equilibrium calculations. This rescues the possibility of constructing MHD equilibria with current sheets and continuous, smooth pressure profiles. The results predict that, even if the plasma acts as a perfectly conducting fluid, a resonant magnetic perturbation can penetrate all the way into the center of a tokamak without being shielded at the resonant surface.

Original languageEnglish (US)
Article number090704
JournalPhysics of Plasmas
Issue number9
StatePublished - Sep 1 2015

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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