Collisional transport of multi-ion-species plasmas in general non-symmetric toroidal configurations

A previous formulation of the neoclassical transport in helical/stellarator devices based on the moment equation approach is extended to allow the poloidal and toroidal variation of the densities and temperatures of δna/na, δTa/Ta < δB/B. Since the transport of impurities with high collisionalities (so-called Pfirsch-Schlueter diffusions which are separated in our previous works) is determined by the local parallel force balance before the flux-surface averaging including these variations δna, δTa an important purpose of this extension is to study radial profiles of the impurity density under the self-consistent ambipolar radial electric field Er in plasmas containing electrons and main ions corresponding to the collisionless (l/ν, ν, or banana) regimes or the plateau regime, and impurity ions in the Pfirsch-Schlueter regime. The Legendre-Laguerre expansion with orders of l=0, 1 and j=0,1,2 is used for this local momentum balance to include the energy scattering collisions and the effect of the radial electric field in non-symmetric toroidal plasmas. (author)