Neoclassical quasilinear transport theory in tokamak plasmas

A synthetic theory of neoclassical and anomalous transport in a weakly turb ulent tokamak plasma is presented. The neoclassical effect on the anomalous particle and heat fluxes and the parallel current in the presence of elect rostatic fluctuations is investigated using the kinetic equations for the e nsemble-averaged and fluctuating distribution functions. It is found in the drift-kinetic and gyrokinetic orderings for electrons and ions that the Wa re pinch components of the anomalous particle and heat fluxes and the paral lel current are sensitive to the toroidal effect, although the other compon ents of particle and heat fluxes are little influenced. In the banana regim e, these Ware pinch components and the anomalous parallel current are shown to be significantly reduced when the condition \(omega - omega(E))/k paral lel to v(e)\ < (2 epsilon)(1/2) is satisfied, where omega and k(parallel to ) are the frequency and the parallel wavenumber of fluctuations, we is the drift frequency due to the radial electric field, v(e) is the thermal veloc ity for electrons and epsilon is the inverse aspect ratio. Interpolated for mulae that can be used throughout all collisionality regimes are also obtai ned for the Ware pinch components and the anomalous parallel current.