Stellarator equilibria and the problem of position control

J. P. Freidberg*, P. A. Politzer, Philip Rosenau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A class of low-β stellarator magnetohydrodynamic (MHD) equilibria with β∼(α/R0)2 is introduced, and the corresponding toroidal shift is calculated. It is shown that an apparent paradox exists with regard to the problem of position control in that a vertical field is capable of shifting vacuum flux surfaces, but produces no net body force on a current-free stellarator. This paradox is resolved by an analysis of the transient response of the plasma and demonstrates how the vertical field can be used as a means of position control.

Original languageEnglish
Pages (from-to)2093-2100
Number of pages8
JournalPhysics of Fluids
Issue number8
StatePublished - 1984
Externally publishedYes


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