Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields

S. R. Hudson, B. F. Kraus

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

A brief critique is presented of some different classes of magnetohydrodynamic equilibrium solutions based on their continuity properties and whether the magnetic field is integrable or not. A generalized energy functional is introduced that is comprised of alternating ideal regions, with nested flux surfaces with an irrational rotational transform, and Taylor-relaxed regions, possibly with magnetic islands and chaos. The equilibrium states have globally continuous magnetic fields, and may be constructed for arbitrary three-dimensional plasma boundaries and appropriately prescribed pressure and rotational-transform profiles.

Original languageEnglish (US)
Article number715830403
JournalJournal of Plasma Physics
Volume83
Issue number4
DOIs
StatePublished - Aug 1 2017

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Keywords

  • Magnetized plasmas
  • Plasma energy balance

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