Transport theory in the collisional boundary layer regime for finite aspect ratio tokamaks with broken symmetry

Abstract

Transport theory in the collisional boundary layer regime for tokamaks with broken symmetry is extended to include the effects of the finite aspect ratio and finite plasma β. Here, β is the ratio of the plasma thermal pressure to the magnetic field pressure. Transport fluxes are calculated on the perturbed magnetic surface where plasma pressure is constant. The extension of the theory to finite aspect ratio tokamaks is made possible because the perturbed particle distribution that contributes to the transport fluxes in the collisional boundary layer regime is localized in the pitch angle space. Invoking the flux-force relation, the transport fluxes can be used for modeling toroidal plasma flow in tokamaks.