Abstract
Theoretical research on the geodesic acoustic mode (GAM) induced by the equilibrium toroidal rotation flow (ETRF) in the tokamak plasmas with an arbitrary β is performed by using the ideal magnetohydrodynamic model, where β is the ratio of the plasma pressure and magnetic field pressure. Two equations determining the poloidal displacement ξ θ and the divergence of the Lagrangian perturbation are obtained and suitable for arbitrary cross-section tokamaks with large-aspect-ratios. The dispersion relations are then derived for two different coupling patterns by assuming ξ ± 2 = 0 and ξ ± 4 = 0, respectively, where ξ m = 1 2 π ∮ ξ θ e i m θ d θ with θ being the poloidal angle under the circular cross-section condition. In both patterns, the ETRF will increase the frequencies of the GAMs but β can decrease them. The GAM for ξ ± 2 = 0 has a larger frequency than GAM for ξ ± 4 = 0. © 2013 AIP Publishing LLC.
| Original language | English |
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| Article number | 72504 |
| Journal | Physics of Plasmas |
| Volume | 20 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2013 |
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Haijun Ren, Ding Li, and Paul K Chu , "Geodesic acoustic modes in toroidally rotating tokamaks with an arbitrary β", Physics of Plasmas 20, 072504 (2013) and may be found at https://doi.org/10.1063/1.4816672.