Axialsymmetrische Lösungen der magnetohydrostatischen Gleichung mit Oberflächenströmen II

Abstract

Axially symmetric magneto-hydrodynamic equilibrium configurations are considered where the plasma is contained in a torus of arbitrary cross-section and electric currents flow in the surface of the plasma only. It is shown that the magnetic field is uniquely determined by the values of the total current in azimuthal and in meridional direction respectively and by the gas pressure. A method is given to compute the location of discontinuities of the magnetic field outside of the torus. The singularities are found explicitly in the case of elliptic or circular cross-section. In the circular case only the magnetic field is regular everywhere outside except on the axis of symmetry.