Y. Ishii et al., NONLINEAR BEHAVIOR OF KELVIN-HELMHOLTZ INSTABILITY IN A HELIOTRON PLASMA AND POLOIDAL VELOCITY SHEAR, Plasma physics and controlled fusion, 36(12), 1994, pp. 2045-2057
For low-beta plasma in heliotron devices, electromagnetic Kelvin-Helmh
oltz instability can be excited by poloidal velocity shear due to radi
al electric field. According to nonlinear calculation of single helici
ty instability at iota = 1 resonant surface in a straight Heliotron E
model, growth phase is governed by (m, n) = (3, 3) and (4, 4) modes an
d saturation is obtained by the quasi-linear effect on the poloidal sh
ear flow, where iota is a rotational transform and m(n) is a poloidal(
toroidal) mode number. The linearly unstable mode with (m, n) = (1, 1)
is strongly energized by the mode coupling between (m, n) = (3, 3) an
d (m, n) = (4, 4). In the saturation state magnetic flux fluctuation <
(phi)over tilde> is nearly equal to the electrostatic potential fluctu
ation <(phi)over tilde>, which is different from the usual interchange
modes with phase difference of pi/2 between <(psi)over tilde> and <(p
hi)over tilde>. Magnetic island structure is also seen in resistive pl
asmas, although linear growth rate is not affected by the resistivity.