Y. Ishii et M. Wakatani, NONLINEAR EVOLUTION OF M=1 INTERNAL-MODE IN A CURRENT-CARRYING FINITE-BETA PLASMA OF HELIOTRON TORSATRON, Plasma physics and controlled fusion, 37(8), 1995, pp. 867-881
Nonlinear behaviour of the m = 1 internal mode is studied in a straigh
t Heliotron E configuration with net plasma current for both a peaked
and a broad current profile case. In the former case the (m, n) = (1,
1) internal kink mode is destabilized in the neighbourhood of the inne
r iota = 1 surface for low beta plasmas, although two iota = 1 surface
s exist in the plasma column, where iota is a total rotational transfo
rm. When the beta value is increased, the internal kink mode is combin
ed with the interchange mode and the linear mode structure covers the
two iota = 1 resonant surfaces, since Heliotron E has a large magnetic
hill. Nonlinear evolution shows two stages: the first one is similar
to the nonlinear internal kink mode and the second one to the nonlinea
r interchange mode. For the broad current profile case only the m = 1
interchange mode is destabilized even in the current-carrying plasma a
nd beta limit appears. Nonlinear behaviour is the same as that in curr
entless plasmas.