PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas |
Xiao-Long Zhu(朱霄龙), Feng Wang(王丰), Zheng-Xiong Wang(王正汹) |
Key Laboratory of Materials Modification by Laser, Ion and Electron Beams of the Ministry of Education, School of Physics, Dalian University of Technology, Dalian 116024, China |
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Abstract Nonlinear evolution of multiple toroidal Alfvén eigenmodes (TAEs) driven by fast ions is self-consistently investigated by kinetic simulations in toroidal plasmas. To clearly identify the effect of nonlinear coupling on the beam ion loss, simulations over single-n modes are also carried out and compared with those over multiple-n modes, and the wave-particle resonance and particle trajectory of lost ions in phase space are analyzed in detail. It is found that in the multiple-n case, the resonance overlap occurs so that the fast ion loss level is rather higher than the sum loss level that represents the summation of loss over all single-n modes in the single-n case. Moreover, increasing fast ion beta βh can not only significantly increase the loss level in the multiple-n case but also significantly increase the loss level increment between the single-n and multiple-n cases. For example, the loss level in the multiple-n case for βh=6.0% can even reach 13% of the beam ions and is 44% higher than the sum loss level calculated from all individual single-n modes in the single-n case. On the other hand, when the closely spaced resonance overlap occurs in the multiple-n case, the release of mode energy is increased so that the widely spaced resonances can also take place. In addition, phase space characterization is obtained in both single-n and multiple-n cases.
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Received: 18 November 2019
Revised: 09 December 2019
Accepted manuscript online:
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PACS:
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52.55.Fa
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(Tokamaks, spherical tokamaks)
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52.35.Bj
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(Magnetohydrodynamic waves (e.g., Alfven waves))
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94.20.wj
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(Wave/particle interactions)
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52.55.Dy
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(General theory and basic studies of plasma lifetime, particle and heat loss, energy balance, field structure, etc.)
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Fund: Project supported by the National Key R&D Program of China (Grant No. 2017YFE0301900), the National Natural Science Foundation of China (Grant No. 11675083), and the Fundamental Research Funds for the Central Universities of China (Grant No. DUT18ZD101). |
Corresponding Authors:
Feng Wang, Zheng-Xiong Wang
E-mail: fengwang@dlut.edu.cn;zxwang@dlut.edu.cn
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Cite this article:
Xiao-Long Zhu(朱霄龙), Feng Wang(王丰), Zheng-Xiong Wang(王正汹) Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas 2020 Chin. Phys. B 29 025201
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