The role of polarization current in the problem of rotating magnetic island
s in the absence of drift effects is discussed for the case of nonregulariz
ed and regularized velocity profiles governed by the perpendicular viscosit
y. The polarization current is calculated taking into account the finite io
n Larmor radius effects. It is shown that, in correspondence with the gener
al rule by Waelbroeck and Fitzpatrick [Phys. Rev. Lett. 78, 1703 (1997)], t
his current is destabilizing. The destabilizing contribution of the polariz
ation current into the generalized Rutherford equation for the magnetic isl
and width does not depend on whether the profile function is regularized or
not. It is shown that the Larmor corrections to the current consist of the
sum of two oppositely directed currents and do not contribute into the gen
eralized Rutherford equation. (C) 2000 American Institute of Physics. [S107
0-664X(00)01604-9].