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The existence of nonaxisymmetric toroidal magnetohydrodynamic (MHD) equilibria, whose magnetic field lines are closed after one poloidal turn around the magnetic axis C, is investigated analytically. Up-down symmetry of the configuration with respect to the equatorial plane which contains the axis is assumed. In principle, nonaxisymmetry is manifested in the form of a noncircular axis or a variation of the geometry and/or magnetic field along a circular axis. It is proved that no equilibrium with a noncircular axis exists. For a circular axis, nonexistence is proved if the ellipticity of the cross-section varies along C. Nor is variation of the triangularity, up to the seventh Fourier mode with respect to the poloidal angle, allowed. For variations with still higher mode numbers nonexistence is made plausible. For the magnetic field the situation is analogous. Nonaxisymmetric poloidal equilibria with equatorial mirror symmetry are thus practically ruled out.

Additional information

Authors: SALAT A, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Report: IPP 6/323 EN (1994) 37 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199510154 / Last updated on: 1995-08-22
Original language: en
Available languages: en
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