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This paper addresses the inverse problem of the existence of surface current magnetohydrodynamic (MHD) equilibria in toroidal geometry with an inside vanishing magnetic field, where the plasma-vacuum interface rather than the external wall or conductors is given. This makes it possible to reformulate the problem in geometric terms. If a covering by geodesics (field lines) exists, their orthogonal trajectories (current lines) also form a simple covering and can be described by a function satisfying a non-linear partial differential equation of the Hamilton-Jacobi type.

Additional information

Authors: KAISER A, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE);SALAT A, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Article: Physics of Plasmas, Vol. 1 (1994) No. 2, pp. 281-295
Record Number: 199411047 / Last updated on: 1994-11-28
Original language: en
Available languages: en
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