Diffusivity Scaling on Shear Flow

Diffusivity scaling on shear flow is investigated. Radial electrical field is the drive of the flow. The turning points of the trapped particle are not on the drift surface, but modified by the radial electrical field. For the first time, an analytical expression of the banana width in presence of shear flow is accurately derived. The particle diffusivity given by Rosenbluth is reproduced but with the shear flow modification.