
Characteristics of core beta-induced Alfvén eigenmodes with shear flow in EAST NBI heating plasmas
Lizhe Guo, Jian Bao, Ming Xu, Hailin Zhao, Yingying Li, Chao Dong, Jintao Cao, Zhiyong Qiu, Wenlu Zhang, Zhihong Lin, et al.
Chinese Academy of Sciences Institute of Physics, Chinese Academy of Sciences - Hefei Institutes of Physical Sciences, Hebei Key Laboratory of Compact Fusion, University of California Irvine
The basic features and relationship with zonal flows of multiple branches of beta-induced Alfv'en eigenmodes (BAEs) are investigated in the EAST tokamak. Those branches of BAEs, excited by tangentially injected NBI, are located in the central region ($0.2 \leq \rho \leq 0.4$), with frequencies in the range of 50 $\leq f \leq$ 70~kHz and low toroidal mode numbers $1 \leq n \leq 5$. The excitation of BAEs is clearly characterized by three typical features: an increase in the $\omega_{EXB}$ shear locally, accompanied by simultaneous rises in both central rotation velocity and electron temperature. Radial profiles of the mode phase angle from electron cyclotron emission (ECE) diagnostics vary significantly with $n$. Global gyrokinetic simulations of core BAEs are performed in both linear and nonlinear regimes. In the linear regime, the unstable BAE branches are consistent with experiment on toroidal mode number, real frequency and the mode structure phase angle. The radial variation of BAE phase angle is primarily caused by bulk plasma kinetic effects rather than the energetic particle (EP) non-perturbative drive. In the nonlinear regime, single-$n$ BAE without zonal fields saturates at a large amplitude that triggers the non-adiabatic frequency chirping on a fast timescale of sub-millisecond, while the self-organized zonal flow beat-driven by BAE greatly reduces BAE saturation amplitude below the chirping threshold, which is in consistency with experimental observation. Moreover, it is confirmed that the criterion of zonal flow regulation on dissipative-type instability (such as AEs) becomes $\omega_{E\times B} > \omega_r$ rather than traditional $\omega_{E\times B} > \gamma_L$ for reactive-type instability. In general, the self-organized zonal flow can improve plasma confinement through regulating both BAEs and drift-wave turbulence.




