Abstract. New results elucidating FRC equilibrium and stability are reported. Both prolate and oblate configurations are considered. For prolate FRC’s, macrostability is calculated incuding effects beyond static MHD. Hall MHD gives a stability condition similar to an empirically-based limit. At finite Ti, gyroviscosity and resonant ion effects are included. Agreement between asymptotic theory of uniform large elongation and full 3D computations is reported. Full 3D kinetic-ion calculations show resonant ion destabilization and nonlinear saturation via wave-particle trapping. Advances in two-fluid equilibrium with flow are reported. A Fourier-Beltrami state with two modes is has approximate equipartition between flow and magnetic energy, and may explain experimentally observed features. Effects of mirror-trapped electrons near the field line ends is considered in both collisional and collisionless regimes, and found to reduce growth rates significantly for elongation of 5 or greater. Oblate FRC's are shown to be interchange stable for moderate separatrix pressure and to be accessible to formation by spheromak merging. Doublet shaped FRC’s are also being studied.
IAEA 2003