An Energy Principle for Axisymmetric Toroidal Plasmas

抄録

It is proved that both the global invariant with respect to helicity given by Taylor and that with respect to helical flux given by Kadomtsev are included in a generalized fundamental global invariant composed of poloidal and toroidal magnetic fluxes, which brings about the well-known force-free equilibria μ₀j=λ₀B as the minimum-magnetic-energy state. By implicating the plasma-wall interaction in the global constraint, we can obtain the minimum-energy state which satisfies the experimental boundary condition of j=0 at the wall. Formulation of an energy principle including the edge plasma effects for slightly resistive MHD plasmas is presented. Two typical numerical results of the Tokamak-like equilibria and the reversed-field-pinch equilibria are shown.