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Chin. Phys. B, 2026, Vol. 35(3): 035203    DOI: 10.1088/1674-1056/adf17e
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Modeling study of synergistic effects of neutral beam injection hot ions on helicon wave current drive in HL-3 tokamak

Shu-Heng Sun(孙书恒)1, Dao-Zheng Zi(资道政)1, Zu-Guang Liu(刘祖光)1, Sen Wang(王森)1, and Xin-Xia Li(李新霞)1,2,†
1 School of Nuclear Science and Technology, University of South China, Hengyang 421001, China;
2 Key Laboratory of Advanced Nuclear Energy Design and Safety, Ministry of Education, Hengyang 421001, China
Abstract  Helicon waves with very high ion cyclotron harmonics have been proposed for active off-axis current drive in tokamak with high performance operations. Under the application of ion cyclotron resonant heating or the neutral beam injection, hot ions with very high energy exist. For helicon waves with a wave frequency of $476$ MHz and $n_\parallel=3.0$, as utilized in DIII-D and KSTAR tokamaks, theoretical analysis based on the fast wave dispersion relation indicates that the ion damping coefficient can be comparable to electron damping coefficient once the hot ions are injected. The synergistic effects of hot ions produced by neutral beam injection on helicon wave current drive in the HL-3 tokamak are investigated numerically using GENRAY/CQL3D simulations. The results indicate that electron damping remains the dominant mechanism owing to the low concentration of hot ions, and robust off-axis current drive can generally be achieved in the device. Considering the hot ions with an average energy $\langle E_{\rm avg}\rangle\sim 80$ keV produced by neutral beam injection, positive synergistic effects between the hot ions and the helicon wave are observed, where super hot ions with energy exceeding $100$ keV appear, as evidenced by the formation of a pronounced plateau in the hot ion velocity distribution function. Finally, the introduction of minority hot ions is proved to have a limited effect on the total current drive in the device.
Keywords:  hot ions      helicon wave      tokamak      HL-3  
Received:  09 May 2025      Revised:  30 June 2025      Accepted manuscript online:  18 July 2025
PACS:  52.55.Fa (Tokamaks, spherical tokamaks)  
  52.55.Wq (Current drive; helicity injection)  
Fund: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2026JJ50354) and Hunan Province College Students’ Innovative Experimental (Grant Nos. S202410555204 and S202410555199).
Corresponding Authors:  Xin-Xia Li     E-mail:  li_xx@usc.edu.cn

Cite this article: 

Shu-Heng Sun(孙书恒), Dao-Zheng Zi(资道政), Zu-Guang Liu(刘祖光), Sen Wang(王森), and Xin-Xia Li(李新霞) Modeling study of synergistic effects of neutral beam injection hot ions on helicon wave current drive in HL-3 tokamak 2026 Chin. Phys. B 35 035203

[1] Prater R, Moeller C P, Pinsker R I, Porkolab M, Meneghini O and Vdovin V 2014 Nucl. Fusion 54 083024
[2] Prater R, Pinsker R, Moeller C, Porkolab M and Vdovin V 2014 AIP Conference Proceedings Vol. 1580 (American Institute of Physics) pp. 247–250
[3] Yang Y Q, Zhang X J, Zhao Y P, Qin C M, Mao Y Z and Yang H 2020 AIP Conference Proceedings 2254 060004
[4] Li X, Li G and Liu H 2021 Fusion Engineering and Design 172 112897
[5] Vdovin V 2013 Plasma Physics Reports 39 95
[6] Lau C, Jaeger E, Bertelli N, Berry L A, Green D L, Murakami M, Park J M, Pinsker R I and Prater R 2018 Nucl. Fusion 58 066004
[7] Zi D Z, Cheng Z H, Sun S H, Li M H and Li X X 2025 Fusion Engineering and Design 215 114968
[8] Liu G N, Li X X, Liu H B and Sun A P 2023 Acta Phys. Sin. 72 245202 (in Chinese)
[9] Yin L, Zheng P, Gong X, Yang C, Yin X, Song C, Huang Q, Chen Y and Zhong Y 2022 Nuclear Fusion 62 066023
[10] Kim J,Wang S, Jang K, Lee H andWi H 2021 Fusion Engineering and Design 166 112301
[11] Wi H,Wang S, Kim J and Kwak J 2023 Fusion Engineering and Design 195 113983
[12] Compernolle B V, Brookman M W, Moeller C P, Pinsker R I, Garofalo A M, O’Neill R, Geng D, Nagy A, Squire J P and Schultz K 2021 Nucl. Fusion 61 116034
[13] Pinsker R, Van Compernolle B, Tang S, Lestz J, Moeller C, Petty C, Dupuy A, Squire J, Garofalo A, Porkolab M, Rost J, Baek S, Nagy A, Chowdhury S, Crocker N, Degrandchamp G, McLean A, Gage K, Marinoni A, Martin E, Ronchi G and the DIII-D Team 2024 Nucl. Fusion 64 126058
[14] Ono M 1995 Physics of Plasmas 2 4075
[15] Chiu S, Chan V, Harvey R and Porkolab M 1989 Nucl. Fusion 29 2175
[16] Stix T H 1992 Waves in plasmas (Springer Science & Business Media)
[17] Harvey R and McCoy M 1992 The CQL3D fokker-planck code Proceedings of the IAEA Technical Committee Meeting on Simulation and Modeling of Thermonuclear Plasmas pp. 489–526
[18] Monticello D 1993 Nucl. Fusion 33 359
[19] Lu L, Lu B, Zhang X, Colas L, Urbanczyk G, Wang Z, Li Z, Hao B, Xue L, Xue M, Wang S and Sun A 2023 Nucl. Fusion 63 066023
[20] Xue M, Zheng G Y, Xue L, Li J X,Wang S, Du H L, Zhu Y R and Zhou Y 2024 Chin. Phys. B 33 084703
[21] Lin W H, Li J Q, Garcia J and Mazzi S 2023 Chin. Phys. B 32 025202
[22] Bertelli N, Valeo E J, Green D L, Gorelenkova M, Phillips C K, Podestà M, Lee J P, Wright J C and Jaeger E F 2017 Nucl. Fusion 57 056035
[23] Li X X, Liu H B, Xiang N and Li M H 2020 Phys. Lett. A 384 126779
[24] Xue L, Garcia J, Zheng G, Hoang G, Artaud J, Duan X, Li J, Giruzzi G, Zou X, Pan W, Zhang J, Huang M, Wei H, Bai X, Ji X, Song X, Wang S, Song X, Xue M, Huang W and the HL-2M team 2019 Nucl. Fusion 60 016016
[25] Liu H B, Li X X, Xiao Z Y, Zhang D Z and Sun A P 2021 Journal of the Korean Physical Society 79 1135
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[1] LOU SEN-YUE (楼森岳). (2+1)-DIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION[J]. Acta Physica Sinica (Overseas Edition), 1997, 6(8): 561 -573 .
[2] NI GUANG-JIONG (倪光炯), CHEN SU-QING (陈苏卿). EFFECTIVE POTENTIAL OF $\lambda$$\phi$41+3 AT ZERO AND FINITE TEMPERATURES[J]. Acta Physica Sinica (Overseas Edition), 1998, 7(6): 401 -413 .
[3] Li Zhi-hong (李志宏), Gong Yan-jun (巩雁军), Zhang Ye (张晔), Wu Dong (吴东), Sun Yu-han (孙予罕), Wang Jun (王俊), Liu Yi (柳义), Dong Bao-zhong (董宝中). STUDY OF MESOPOROUS SILICA MATERIALS BY SMALL ANGLE X-RAY SCATTERING[J]. Chinese Physics, 2001, 10(5): 429 -432 .
[4] Xie Bing-Hao (解炳昊), Jing Hui (景辉). Analytical method for yrast line states in the interacting two-component Bose-Einstein condensate[J]. Chinese Physics, 2002, 11(2): 115 -119 .
[5] Wang Cheng-Zhi (王成志), Fang Mao-Fa (方卯发). Quantum entanglement in a two-dimensional ion trap[J]. Chinese Physics, 2003, 12(3): 287 -293 .
[6] Su Cheng-Yue (苏成悦). The variability of BL Lac 3C 66A[J]. Chinese Physics, 2004, 13(8): 1375 -1376 .
[7] Dong Cheng(董成). Structural classification and a binary structure model for superconductors[J]. Chinese Physics, 2006, 15(12): 3005 -3013 .
[8] Shi De-Heng (施德恒), Liu Yu-Fang (刘玉芳), Sun Jin-Feng (孙金锋), Yang Xiang-Dong (杨向东), Zhu Zun-Lue (朱遵略). Ab initio calculation of accurate dissociation energy, potential energy curve and dipole moment function for the A1+ state 7LiH molecule[J]. Chinese Physics, 2006, 15(5): 1015 -1021 .
[9] Li Cheng-Yue(李承跃), J. P. Allain, and Deng Bai-Quan(邓柏权). Effects of a liquid lithium curtain as the first wall in a fusion reactor plasma[J]. Chinese Physics, 2007, 16(11): 3312 -3318 .
[10] Jiao Rong-Zhen(焦荣珍) and Feng Chen-Xu(冯晨旭) . The effect of configuration complex on dielectronic recombination process in highly ionized plasmas[J]. Chin. Phys. B, 2008, 17(5): 1845 -1847 .