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Nonlinear simulations of energetic particle modes in tokamak plasmas with reversed magnetic shear

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Abstract

Effects of energetic particles (EPs) on m/n = 3/1 magnetohydrodynamic (MHD) instabilities have been investigated via hybrid simulations for reversed magnetic shear configurations. The simulation results shown that a global instability, energetic particle modes (EPMs), can be excited by the strong energetic particle drive with the frequency lying into the Alfvén continuum. In the linear growth stage, EPs not only induce radial broadening of mode structures but also enhance toroidal mode coupling when EP beta is large enough. In the nonlinear saturation stage, the good flux surfaces are still kept over the entire plasma area in a long time evolution of EPMs. To clarify nonlinear saturation of the mode, effects of the energetic particle beta values, the width of the particle distribution, the beam energy and the initial pitch angle on the saturation amplitude of the EPMs are discussed in detail. Furthermore, MHD nonlinearity is found to reduce the saturation level of the EPM compared to linear MHD case, while the high-n harmonics have less impact.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data included in this manuscript are available upon request by contacting with the corresponding author.]

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Acknowledgements

The authors would like to thank Prof. X. G. Wang, Prof. Z. W. Ma for useful suggestions. M. Li acknowledge CLT-K team for supporting the code. This work was supported by the National Natural Science Foundation of China under Grant Nos. 11975188, U22A20262, and the National Key R&D Program of China under Grant Nos. 2019YFE03020002, 2022YFE03070000, 2022YFE03070001 and the Science and Technology Plan Project in Sichuan Province of China under Grant Nos. 2022JDJQ0036.

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Authors and Affiliations

  1. Institute of Fusion Science, School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    M. Li, X. Q. Wang, B. Zhang, X. Su & Y. Xu

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  1. M. Li
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  2. X. Q. Wang
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  3. B. Zhang
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  4. X. Su
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Correspondence to X. Q. Wang.

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Li, M., Wang, X.Q., Zhang, B. et al. Nonlinear simulations of energetic particle modes in tokamak plasmas with reversed magnetic shear. Eur. Phys. J. Plus 138, 558 (2023). https://doi.org/10.1140/epjp/s13360-023-04198-5

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