AXISYMMETRIC FINITE BETA MINIMUM ENERGY EQUILIBRIA OF WEAKLY TOROIDAL DISCHARGES
A variational principle is presented for the calculation of finite beta minimum energy states of partially relaxed toroidal plasma columns. The potential energy of the plasma is minimized, with the Woltjer-Taylor invariant and the equilibrium equation as constraints, and with suitably chosen boundary conditions. A solution is given for a cylindrical plasma column with translational and rotational symmetry, embedded in a vacuum. The familiar technique of an expansion in the inverse aspect ratio is then employed to calculate the first-order toroidal correction to the cylindrical equilibrium. To this end, a general method, applicable to any zero-order solution, is used. Finally, it is shown that the results of the theory are in agreement with the data on magnetic field profiles of the reversed field pinch experiment ETA-BETA-II, and those of pressure profiles of the screw pinch experiment SPICA and of the Frascati tokamak.
Bibliographic Reference: THE PHYSICS OF FLUIDS, VOL. 26 (1983), NO. 2, PP. 500-507
Record Number: 1989122086500 / Last updated on: 1987-01-01
Available languages: en