物理学报2026，Vol.75Issue(11)：183-194,12.DOI:10.7498/aps.75.20251694
高能粒子进动漂移动理学效应对内扭曲模影响的模拟
Precessional drift-kinetic effects of energetic particles on internal kink mode in tokamaks
摘要
Abstract
How energetic particles(EPs)affect the internal kink mode(IKM)is a critical question for the stable operation of future burning plasma devices like ITER and the EU DEMO.In this paper,the IKM in tokamak geometry is numerically systematically investigated utilizing the full toroidal magnetohydrodynamic(MHD)code MARS-F and the non-perturbative MHD-kinetic hybrid code MARS-K.Emphasis is placed on the role of kinetic effects arising from the precessional drift motion of trapped EPs.Multiple plasma parameters are scanned including the ideal wall position d/a,the on-axis pressure ratio β*0 and the energy ratio αr between the energetic and thermal particles,as well as the radial profiles of EP density and pressure.The kinetic effect is found to be either stabilizing or destabilizing depending on the EP equilibrium profiles.With the latter being constant fractions of the corresponding thermal particle profiles,the EP kinetic effect mildly destabilizes the IKM at low d/a and αT.The mode growth rate monotonically increases with β*0,peaking at maximum d/a and αT for β*0=0.5.For radially distributed profiles for the EP density and pressure fractions,however,the effect is stabilizing throughout the parameter spaces in(d/a,αT).The enhanced stabilizing effect comes from the more peaked radial profiles for the EP density and pressure,which increases the magnitude of the resonance operator(given in Eq.(8))by increasing the diamagnetic frequency of the EPs.At large αT,the mode growth rate non-monotonically depends on β*0,reaching the peak value at maximum d/a but minimum αT for β*0=0.5.This non-monotonic behavior stems from the fact that a higher mode frequency is excited by precessional drift resonance of trapped EPs for radially distributed profiles,while the mode frequency appears in both the numerator and denominator of the resonance operator.Significant quantitative differences are also computed,over the entire parameter space,between the aforementioned two profile models for EPs.Comparative analysis shows approximately one order of magnitude difference in the computed mode frequency,and even sign reversal,between the two EP profile models with increasing αT.With the radial profiles of EP density and pressure more representative of the experimentally conditions,the mode frequency excited by EPs reaches an amplitude on the order of 10-2,corresponding to real frequencies of several to tens of kHz.This result aligns well with experimental and numerical observations from multiple tokamaks,including DⅢ-D,EAST,and HL-2A.The amplitude increases monotonically with EP energy,further supporting the consistency with these observations.In experiments,the radial profiles of EP pressure and density can serve as key control parameters.By tailoring the deposition profile of auxiliary heating,the radial distribution of EPs can be actively manipulated,thereby enabling effective control of sawtooth oscillations.These results enhance understanding of the EP kinetic effects on IKM and provide physics insight for analyzing associated instabilities in future fusion devices.关键词
内扭曲模/高能粒子/漂移动理学效应/托卡马克Key words
internal kink mode/energetic particles/drift-kinetic effect/tokamak引用本文复制引用
周利娜,乔岩,姜硕,刘钺强,苗雨田,王勇,段萍,陈龙,刘开颖..高能粒子进动漂移动理学效应对内扭曲模影响的模拟[J].物理学报,2026,75(11):183-194,12.基金项目
国家自然科学基金青年科学基金(批准号:12205033,12105317)、大连市中青年科技人才(批准号:2022RQ039)和中央高校基本科研业务费(批准号:3132025199)资助的课题. Project supported by the Young Scientists Fund of the National Natural Science Foundation of China(Grant Nos.12205033,12105317),the Youth Science and Technology Program of Dalian,China(Grant No.2022RQ039),and the Fundamental Research Funds for the Central Universities,China(Grant No.3132025199). （批准号:12205033,12105317）
