中国物理B ›› 2023, Vol. 32 ›› Issue (10): 105203-105203.doi: 10.1088/1674-1056/acedf7

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Effects of plasma radiation on the nonlinear evolution of neo-classical tearing modes in tokamak plasmas with reversed magnetic shear

Shuai Jiang(姜帅), Zheng-Xiong Wang(王正汹), Lai Wei(魏来), and Tong Liu(刘桐)   

  1. Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2023-06-13 修回日期:2023-07-26 接受日期:2023-08-08 出版日期:2023-09-21 发布日期:2023-10-08
  • 通讯作者: Zheng-Xiong Wang E-mail:zxwang@dlut.edu.cn
  • 基金资助:
    Project supported by the National Key R&D Program of China (Grant No. 2022YFE03090000), the National Natural Science Foundation of China (Grant No. 11925501), and the Fundament Research Funds for the Central Universities (Grant No. DUT22ZD215).

Effects of plasma radiation on the nonlinear evolution of neo-classical tearing modes in tokamak plasmas with reversed magnetic shear

Shuai Jiang(姜帅), Zheng-Xiong Wang(王正汹), Lai Wei(魏来), and Tong Liu(刘桐)   

  1. Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics, Dalian University of Technology, Dalian 116024, China
  • Received:2023-06-13 Revised:2023-07-26 Accepted:2023-08-08 Online:2023-09-21 Published:2023-10-08
  • Contact: Zheng-Xiong Wang E-mail:zxwang@dlut.edu.cn
  • Supported by:
    Project supported by the National Key R&D Program of China (Grant No. 2022YFE03090000), the National Natural Science Foundation of China (Grant No. 11925501), and the Fundament Research Funds for the Central Universities (Grant No. DUT22ZD215).

摘要: Effects of plasma radiation on the nonlinear evolution of neo-classical double tearing modes (NDTMs) in tokamak plasmas with reversed magnetic shear are numerically investigated based on a set of reduced magnetohydrodynamics (MHD) equations. Cases with different separations $\varDelta_{\rm rs} =\left| {r_{\rm s2} -r_{\rm s1} } \right|$ between the two same rational surfaces are considered. In the small $\varDelta_{\rm rs} $ cases, the plasma radiation destabilizes the NDTMs and makes the kinetic energy still grow gradually in the late nonlinear phase. Moreover, the NDTM harmonics with high mode numbers reach a high level in the presence of plasma radiation, forming a broad spectrum of MHD perturbations that induces a radially broadened region of MHD turbulence. As a result, the profiles of safety factors also enter a nonlinear oscillation phase. In the intermediate $\varDelta_{\rm rs} $ case, the plasma radiation can advance the explosive burst of kinetic energy that results from the fast driven reconnection between the two rational surfaces, because it can further promote the destabilizing effects of bootstrap current perturbation on the magnetic island near the outer rational surfaces. In the large $\varDelta_{\rm rs} $ case, through destabilizing the outer islands significantly, the plasma radiation can even induce the explosive burst in the reversed magnetic shear configuration where the burst cannot be induced in the absence of plasma radiation.

关键词: neoclassical tearing mode, magnetohydrodynamics, nonlinear phenomena

Abstract: Effects of plasma radiation on the nonlinear evolution of neo-classical double tearing modes (NDTMs) in tokamak plasmas with reversed magnetic shear are numerically investigated based on a set of reduced magnetohydrodynamics (MHD) equations. Cases with different separations $\varDelta_{\rm rs} =\left| {r_{\rm s2} -r_{\rm s1} } \right|$ between the two same rational surfaces are considered. In the small $\varDelta_{\rm rs} $ cases, the plasma radiation destabilizes the NDTMs and makes the kinetic energy still grow gradually in the late nonlinear phase. Moreover, the NDTM harmonics with high mode numbers reach a high level in the presence of plasma radiation, forming a broad spectrum of MHD perturbations that induces a radially broadened region of MHD turbulence. As a result, the profiles of safety factors also enter a nonlinear oscillation phase. In the intermediate $\varDelta_{\rm rs} $ case, the plasma radiation can advance the explosive burst of kinetic energy that results from the fast driven reconnection between the two rational surfaces, because it can further promote the destabilizing effects of bootstrap current perturbation on the magnetic island near the outer rational surfaces. In the large $\varDelta_{\rm rs} $ case, through destabilizing the outer islands significantly, the plasma radiation can even induce the explosive burst in the reversed magnetic shear configuration where the burst cannot be induced in the absence of plasma radiation.

Key words: neoclassical tearing mode, magnetohydrodynamics, nonlinear phenomena

中图分类号:  (Electromagnetic waves (e.g., electron-cyclotron, Whistler, Bernstein, upper hybrid, lower hybrid))

  • 52.35.Hr
52.30.Cv (Magnetohydrodynamics (including electron magnetohydrodynamics)) 52.35.Kt (Drift waves)