Influence of trapped energetic ions on low-frequency magnetohydrodynamic instabilities with reversed shear profile

2021 ◽  
Vol 28 (1) ◽  
pp. 012104
Author(s):  
Baofeng Gao ◽  
Huishan Cai ◽  
Feng Wang ◽  
Xiang Gao ◽  
Yuanxi Wan
2020 ◽  
Vol 86 (3) ◽  
Author(s):  
A. Biancalani ◽  
A. Bottino ◽  
P. Lauber ◽  
A. Mishchenko ◽  
F. Vannini

Numerical simulations of Alfvén modes driven by energetic particles are performed with the gyrokinetic (GK) global particle-in-cell code ORB5. A reversed shear equilibrium magnetic field is adopted. A simplified configuration with circular flux surfaces and large aspect ratio is considered. The nonlinear saturation of beta-induced Alfvén eigenmodes (BAE) is investigated. The roles of the wave–particle nonlinearity of the different species, i.e. thermal ions, electrons and energetic ions are described, in particular for their role in the saturation of the BAE and the generation of zonal flows. The nonlinear redistribution of the electron population is found to be important in increasing the BAE saturation level and the zonal flow amplitude.


2021 ◽  
Author(s):  
Sizhe Duan ◽  
Guoyong Fu ◽  
Huishan Cai

Abstract Based on the experimental parameters in HL-2A tokamak, hybrid simulations have been carried out to investigate the linear stability and nonlinear dynamics of BAE. It is found that the (m/n=3/2) beta-incuced Alfvén eigenmode (BAE) is excited by co-passing energetic ions with qmin=1.5 in linear simulation, and the mode frequency is consistent with experimental meuasurement. The simulation results show that the energetic ions βh, the injection velocity v0 and orbit width parameter ρh of energetic ions are important parameters determining the drive of BAE. Furthermore, the effect of qmin (with fixed shape of q profile) is studied, and it is found that: when qmin ≤ 1.50, the excited modes are BAEs, which are located near q=1.50 rational surfaces; when qmin > 1.50, the excited modes are simillar to the reversed-shear Alfvén eigenmodes (RSAEs), which are mainly localized around q=qmin surfaces. Nonlinear simulation results show that the nonlinear dynamics of BAE is sensitive to the EP drive. For strongly driven case, firstly, redistribution and transport of engetic ions are trigged by (m/n=3/2) BAE, which raised the radial gradient of energetic ions distribution function near q=2 rational surface, and then an EPM (m/n=4/2) is driven in nonlinear phase. Finally, these two instabilities triggered significant redistribution of energetic ions, which results in the twice-repeated and mostly-downward frequency chirping of (m/n=3/2) BAE. For weakly driven case, there are no (m/n=4/2) EPM being driven and twice-repeated chirping in nonlinear phase, since the radial gradient near q=2 rational surface is small and almost unchanged.


2010 ◽  
Vol 105 (14) ◽  
Author(s):  
K. Toi ◽  
F. Watanabe ◽  
T. Tokuzawa ◽  
K. Ida ◽  
S. Morita ◽  
...  

2014 ◽  
Vol 54 (10) ◽  
pp. 104002 ◽  
Author(s):  
W. Chen ◽  
LiMin Yu ◽  
Yi. Liu ◽  
X.T. Ding ◽  
H.S. Xie ◽  
...  

1985 ◽  
Vol 90 (A11) ◽  
pp. 10791 ◽  
Author(s):  
K. W. Behannon ◽  
M. L. Goldstein ◽  
R. P. Lepping ◽  
H. K. Wong ◽  
B. H. Mauk ◽  
...  

2009 ◽  
Vol 16 (9) ◽  
pp. 092502 ◽  
Author(s):  
V. S. Marchenko ◽  
Ya. I. Kolesnichenko ◽  
S. N. Reznik

Author(s):  
R R Ma ◽  
Liu Chen ◽  
Fulvio Zonca ◽  
Yueyan Li ◽  
Zhiyong Qiu

Abstract Linear wave properties of the low-frequency Alfvén modes (LFAMs) observed in the DIII-D tokamak experiments with reversed magnetic shear [Nucl. Fusion 61, 016029 (2021)] are theoretically studied and delineated based on the general fishbone-like dispersion relation. By adopting the representative experimental equilibrium parameters, it is found that, in the absence of energetic ions, the LFAM is a kinetic ballooning mode instability of reactive-type with a dominant Alfvénic polarization. More specifically, due to diamagnetic and trapped particle effects, the LFAM can be coupled with the beta-induced Alfvén-acoustic mode in the low-frequency region (frequency much less than the thermal-ion transit and/or bounce frequency); or with the beta-induced Alfvén eigenmode in the high frequency region (frequency higher than or comparable to the thermal-ion transit frequency); resulting in reactive-type instabilities. Moreover, the ‘Christmas light’ and ‘mountain peak’ spectral patterns of LFAMs as well as the dependence of instability drive on the electron temperature observed in the experiments can be theoretically interpreted by varying the relevant physical parameters. Conditions when dissipative-type instabilities may set in are also discussed.


2016 ◽  
Vol 57 (1) ◽  
pp. 016039 ◽  
Author(s):  
Xian-Qu Wang ◽  
Xiao-Gang Wang

2004 ◽  
Vol 92 (4) ◽  
Author(s):  
Mikhail Starodubtsev ◽  
Md. Kamal-Al-Hassan ◽  
Hiroaki Ito ◽  
Noboru Yugami ◽  
Yasushi Nishida

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