Linear and non-linear models for anomalous alphaparticle transport due to collective instabilities are reviewed.The linear stability analysis is applied to the comparison ofmeasured and computed Alfvén eigenmodes in tokamaks(`spectroscopy'). Scenarios for non-linear wave evolution andfast ion redistribution are discussed.
Systematic linear-stability assessment of Alfvén eigenmodes in the presence of fusion α-particles for ITER-like equilibria