Abstract
Zonal flow induced by energetic particles in tokamak is investigated while considering the effects of plasma rotation. The gyro-kinetics of the rotating plasma are presented to deal with problems of arbitrary frequency. A self-consistent dispersion relation is rigorously derived with a finite wave-number. The calculated real frequency is about half of the transit frequency. The frequency is slightly up-chirping and the damping rate decreases with increases in the hot-ion population and the plasma rotation, which will help generate the zonal flow and the low-to-high confinement transition. The co-current flow benefits confinement, which is consistent with the results of an experiment conducted for DIII-D tokamak and in contrast to results obtained by Deng Zhou in which eikonal approximation loses the parallel resonant feature.
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