Plasma flow and confinement in the vicinity of a rotating island in collisional tokamak plasmas

The theory for the electric field, plasma flows, and plasma confinement in the vicinity of a rotating magnetic island in tokamaks [Phys. Plasmas 9, 3470 (2002)] is extended to the collisional plasmas, i.e., the plateau-Pfirsch-Schluter regime. The electric field that is parallel to the magnetic field B, Eparallel, is assumed to vanish. It is found that plasmas flow in the toroidal direction at the same rate as the island rotation frequency. Island rotation frequency is calculated using an island-induced symmetry-breaking viscosity. The radial electric field in the vicinity of the island is also determined from the toroidal momentum balance equation that includes island-induced toroidal viscosity