Abstract

The small-inverse-aspect-ratio boundary layer approximation, which has been used previously to describe the analytic structure of a driven non-ideal toroidal Alfven eigenmodes (TAEs), is applied to a numerical stability calculation for the TAEs in ITER and TFTR plasmas. Away from TAE gaps (singular layers), zero beta cylindrical magnetohydrodynamics (MHDs) determines the generic structure of the outer solutions. Within each gap, a detailed kinetic treatment is used to include (i) modifications to the fluid equations arising from E// and finite Larmor radius, (ii) collisional damping from trapped electrons, (iii) collisionless (Landau) damping from passing ions and (iv) drive from finite-orbit-width fusion alpha particles and beam ions. The model is valid for arbitrary toroidal mode number and predicts the growth/damping rate of both the MHD-like TAE (that which is predicted by MHD theory) and the relevant kinetic TAEs

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