Continuum damping of ideal toroidal Alfvén eigenmodes
- 1 February 1994
- journal article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 1 (2) , 381-389
- https://doi.org/10.1063/1.870839
Abstract
A perturbation theory based on the two-dimensional (2-D) ballooning transform is systematically developed for ideal toroidal Alfvén eigenmodes (TAEs). A formula, similar to the Fermi golden rule for decaying systems in quantum mechanics, is derived for the continuum damping rate of the TAE; the decay (damping) rate is expressed explicitly in terms of the coupling of the TAE to the continuum spectrum. Numerical results are compared with previous calculations. It is found that in some narrow intervals of the parameter mε̂, the damping rate varies very rapidly. These regions correspond precisely to the root missing intervals of the numerical solution by Rosenbluth et al. [Phys. Fluids B 4, 2189 (1992)].Keywords
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