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(Received 5 May 1993; accepted 2 August 1993)
The^{ }stability of toroidicityinduced Alfvén eigenmodes (TAE) is investigated in general^{ }tokamak equilibria with finite aspect ratio and finite plasma beta.^{ }The finite orbit width of the hot particles and the^{ }collisional damping of the trapped electrons are included. For the^{ }trapped hot particles, the finite orbit width is found to^{ }be stabilizing. For the circulating hot particles, the finite orbit^{ }width effect is stabilizing for larger values of v_{h}/v_{A} (1)^{ }and destabilizing for smaller values of v_{h}/v_{A} (<1), where v_{h}^{ }is the hot particle speed and v_{A} is the Alfvén^{ }speed. The collisional damping of the trapped electrons is found^{ }to have a much weaker dependence on the collision frequency^{ }than the previous analytic results. The contribution of the curvature^{ }term to the trapped electron collisional damping is negligible compared^{ }to that of the parallel electric field term for typical^{ }parameters. The calculated critical hot particle beta values for the^{ }TAE instability are consistent with the experimental measurements. Physics of Fluids B: Plasma Physics is copyrighted by The American Institute of Physics. ^{ }
DOI: 10.1063/1.860572
PACS:
52.35.Bj, 52.55.Fa
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