Surface current equilibria from a geometric point of view
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.
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