Field-Reversed Configuration (FRC) Equilibrium and Stability


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. 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 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. The interchange stability condition for doublet shaped FRC’s is also reported

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