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Theory of toroidal Alfvén modes excited by energetic particles in tokamaks

F. Zonca, Liu Chen

Abstract

A general analytical theory for the two-dimensional eigenmode structures and stability of high toroidal-mode-number (high-n) shear Alfvén modes in axisymmetric tokamaks is presented. This theory, thus, further generalizes the previous work on the high-n toroidal Alfvén eigenmode (TAE) [Phys. Fluids B 5, 3668 (1993)] by including, nonperturbatively, plasma kinetic effects and resonant excitations by energetic particles. Specifically, in addition to recovering the known theoretical predictions on TAE, we have derived new results on global radial structures, as well as stability properties of kinetic toroidal Alfvén eigenmodes (KTAE) and energetic-particle modes (EPM).

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Key concepts: Physics, Toroid, Tokamak, Normal mode, Plasma, Excited state, Rotational symmetry, Atomic physics