A method for calculating plasma rotation velocity due to internal and external sources

A method for calculating the plasma rotation velocity caused by the effect of fluctuations due to instabilities and/or by externally imposed sources is presented for multiple ion species plasmas in a general toroidal magnetic field. The rotation velocity is shown to be obtained by solving generalized Spitzer equations, accompanied with the drift kinetic equations employing the pitch-angle-scattering and Krook collision terms. This method reduces to the moment equation approach in the conventional neoclassical transport theory when the source term can be approximated by a momentum source.