Plasma-Konfigurationen mit Oberflächenströmen, die von einem Magnetfeld im Gleichgewicht gehalten werden

Abstract

Configurations of a plasma with constant pressure and with surface-currents are examined which are in equilibrium with a exterior magnetic potential-field. With the aid of an existence-theorem from the theory of partial differential equations the question of the existence of such configurations is reduced to differential-geometrical properties of the surface of the plasma. These properties are then investigated for the torus of circular cross-section with an interior azimutal magnetic field and for a surface of axial symmetry with variable diameter. Finally a torus of variable cross-section is treated approximately.