On the existence of toroidal magnetohydrodynamic equilibria with poloidally closed magnetic field lines
This work explores the existence of nonaxisymmetric toroidal magnetohydrodynamic (MHD) equilibria when all lines of force of the magnetic field close after a single revolution about a given magnetic axis. The governing equilibrium equations of magnetohydrodynamics place a constraint on the surface function F(r) in the form of two nonlinear partial differential equations that must be simultaneously satisfied. It is demonstrated that this is not always possible without axisymmetry. Two specific cases where toroidal magnetic surfaces do not exist are identified: (i) isodynamic configurations, where the magnetic field strength is constant on each magnetic surface; (ii) configurations with bumpy surfaces, where the size but not the geometrical shape of the poloidal section containing the closed field lines depends on s.
Bibliographic Reference: Article: Physics Plasmas, Vol. 2 (1995) No. 5, pp. 1599-1604
Record Number: 199511062 / Last updated on: 1995-08-18
Original language: en
Available languages: en