Stability of the toroidicity-induced Alfvén eigenmode in axisymmetric toroidal equilibria

G. Y. Fu, C. Z. Cheng, K. L. Wong

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

The stability of toroidicity-induced 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 υhA (>1) and destabilizing for smaller values of υhA (<1), where υh is the hot particle speed and υA 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.

Original languageEnglish
Pages (from-to)4040-4050
Number of pages11
JournalPhysics of Fluids B
Volume5
Issue number11
DOIs
Publication statusPublished - 1993 Jan 1

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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