Plasma flow and confinement in the vicinity of a rotating island in tokamaks

The theory for the electric field and the plasma confinement in the vicinity of a magnetic island in tokamaks [Phys. Plasmas 9, 3470 (2002)] is extended to the situation where the magnetic island is rotating. The electric field that is parallel to the magnetic field, E∥, is assumed to vanish. With this assumption, the theory for a nonrotating island is applicable to a rotating island if the radial electric field in the nonrotating theory is replaced by the radial gradient of ℱ. Here, ℱ is the part of the electrostatic potential that is constant on the rotating island magnetic surface. As an application of the theory, the radial electric field, toroidal flow speed, ambipolar particle flux, heat flux, and island rotation frequency in the collisionless regime are also presented.