Toroidal drift precession and wave-particle interaction in shaped tokamaks with finite beta and neoclassical equilibrium effects

The drift kinetic equation is analysed for linear instabilities that are sensitive to the toroidal drift motion of long-mean free path particle populations. The interaction Lagrangian is resolved, and the toroidal drift precession evaluated for realistic tokamak equilibria, including the effects of cross section shaping and finite beta. The drift kinetic equation is expanded around a flux surface in accordance with a neoclassically resolved equilibrium and coincident bootstrap current. Analytical results pertaining to the effect of shaping, magnetic shear and finite beta on the toroidal drift and bounce/transit frequencies of passing and trapped particles are shown.