POLOIDAL SPIN-UP OF TOKAMAK PLASMAS FROM POLOIDAL ASYMMETRY OF PARTICLE AND MOMENTUM SOURCES

Transport equations for particle density; toroidal angular momentum, a nd poloidal rotation are derived in the presence of strong particle an d momentum sources in general axisymmetric toroidal geometry. It is sh own that the state with no poloidal rotation is unstable on flux surfa ces where the local particle source rate is sufficiently poloidally as ymmetric and, roughly, more rapid than the damping rate of poloidal ro tation from magnetic pumping. In agreement with earlier results, it is also shown that a:toroidally injected momentum source can drive poloi dal rotation if the momentum deposition is poloidally asymmetric. Thus poloidal rotation could be induced in tokamaks by asymmetric particle fueling.