Theoretical limitations to the Hall acceleration mechanism in a Tokamak

The interaction of Hall currents with the rippled toroidal field which generates them can alter the centre of mass velocity of a toroidal plasma. A hydromagnetic model of a rippled Tokamak is presented which describes this effect. The magnetic field produced by the Hall currents is self-consistently included and shown to increase the acceleration timescale. More importantly it is found that there is an upper limit on the toroidal magnetic field above which the Hall acceleration mechanism is completely suppressed. As Tokamaks operate with a toroidal field above this limit the Hall acceleration mechanism has little effect on either the rotation of the plasma or the loop voltage.