@article{oai:nifs-repository.repo.nii.ac.jp:00000317,
 author = {Horiuchi,  Ritoku and Sato,  Tetsuya},
 issue = {No.3},
 journal = {Physics of Fluids B},
 month = {Mar},
 note = {Nonlinear evolution of the tilting instability in a field-reversed configuration (FRC) is investigated by means of a three-dimensional full magnetohydrodynamic simulation. Three types of plasma model are considered, i.e., case (a) where the plasma is confined by a uniform external field, case (b) where the plasma is confined by a mirror external field, and case (c) where the plasma rotates around the major axis. For the prolate FRC the internal tilt mode cannot stay at a low amplitude but keeps growing irrespective of whether the mirror field exists or not. When the initial configuration is substantially deformed, the instability triggers an external mode at the plasma?vacuum boundary because of the pressure imbalance. The outgoing flow driven by the external mode tears the plasma into two pieces, and the torn pieces move away toward the axial edges. The growth time is nearly equal to the transit time for the Alfv?n wave to propagate over the plasma length. When the plasma is driven to spin with the Mach number of M=1.5, the growth rate is halved compared to the nonrotating case. The spin stabilization is expected to be complete for M>2.5. It is also found that the oblate FRC plasma is linearly unstable against the external tilt mode.},
 title = {Full magnetohydrodynamic simulation of the tilting instability in a field-reversed configuration},
 volume = {Vol.1},
 year = {1989}
}