ALPHA-PARTICLE LOSSES FROM TOROIDICITY-INDUCED ALFVEN EIGENMODES .1. PHASE-SPACE TOPOLOGY OF ENERGETIC PARTICLE ORBITS IN TOKAMAK PLASMA

Phase-space topology of energetic particles in tokamak plasma with arbitrary shape of cross section is studied based upon the guiding center theory. Important phase-space boundaries such as prompt loss boundary, trapped passing boundary, and other boundaries between classes of nonstandard orbits (e.g., pinch and stagnation orbits) are studied. This phase-space topology information is applied to the study of anomalous phase-space diffusion due to finite amplitude Alfven wave fluctuations of energetic particles. The separatrix between trapped and circulating particles contributes dominantly to the losses.