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nonlinear dynamics of the reversed shear alfvén eigenmode in burning plasmas

Plasma Science and Technology 2024年第5期26卷 1-16页

作者：王涛魏士朝 Sergio BRIGUGLIO Gregorio VLAD Fulvio ZOnCA 仇志勇 Institute for Fusion Theory and Simulation and School of Physics Zhejiang UniversityHangzhou 310027People’s Republic of China Center for nonlinear Plasma Science ENEA C.R.FrascatiFrascati 00044Italy Fusion and nuclear Safety Department ENEA C.R.FrascatiFrascati 00044Italy

In a tokamak fusion reactor operated at steady state,the equilibrium magnetic field is likely to have reversed shear in the core region,as the noninductive bootstrap current profile generally peaks *** reversed shear alfvén eigenmode(RSAE)as a unique branch of the shear alfvén wave in this equilibrium,can exist with a broad spectrum in wavenumber and frequency,and be resonantly driven unstable by energetic particles(EP).After briefly discussing the RSAE linear properties in burning plasma condition,we review several key topics of the nonlinear dynamics for the RSAE through both wave-EP resonance and wave-wave coupling channels,and illustrate their potentially important role in reactor-scale fusion *** means of simplified hybrid MHD-kinetic simulations,the RSAEs are shown to have typically broad phase space resonance structure with both circulating and trapped EP,as results of weak/vanishing magnetic shear and relatively low *** the route of wave-EP nonlinearity,the dominant saturation mechanism is mainly due to the transported resonant EP radially decoupling with the localized RSAE mode structure,and the resultant EP transport generally has a convective *** saturated RSAEs also undergo various nonlinear couplings with other collective *** typical routes as parametric decay and modulational instability are studied using nonlinear gyrokinetic theory,and applied to the scenario of spontaneous excitation by a finite amplitude pump *** RSAEs could naturally couple and induce the spectral energy cascade into a low frequency alfvénic mode,which may effectively transfer the EP energy to fuel ions via collisionless Landau ***,zero frequency zonal field structure could be spontaneously excited by modulation of the pump RSAE envelope,and may also lead to saturation of the pump RSAE by both scattering into stable domain and local distortion of the continuum structure.

关键词： reversed shear alfvén eigenmode energetic particle nonlinear gyrokinetic theory saturation burning plasma

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Mode structure symmetry breaking of reversed shear alfvén eigenmodes and its impact on the generation of parallel velocity asymmetries in energetic particle distribution

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Plasma Science and Technology 2022年第2期24卷 17-27页

作者： Guo MEnG Philipp LAUBER Xin WAnG Zhixin LU Max-Planck-Institut fiir Plasmaphysik D-85748 GarchingGermany

In this work,the gyrokinetic eigenvalue code LIGKA,the drift-kinetic/MHD hybrid code HMGC and the gyrokinetic full-f code TRIMEG-GKX are employed to study the mode structure details of reversed shear alfvén eigenmodes(RSAEs).Using the parameters from an ASDEXUpgrade plasma,a benchmark with the three different physical models for RSAE without and with energetic particles(EPs)is carried *** agreement has been found for the mode frequency and the growth *** structure symmetry breaking(MSSB)is observed when EPs are included,due to the EPs’non-perturbative *** is found that the MSSB properties are featured by a finite radial wave phase velocity,and the linear mode structure can be well described by an analytical complex Gaussian expressionФ(s)=e^(-σ(s-s_(0))^(2))with complex parametersσand s_(0),where s is the normalized radial *** mode structure is distorted in opposite manners when the EP drive shifted from one side of qminto the other side,and specifically,a non-zero average radial wave number with opposite signs is *** initial EP density profiles and the corresponding mode structures have been used as the input of HAGIS code to study the EP *** parallel velocity of EPs is generated in opposite directions,due to different values of the average radial wave number,corresponding to different initial EP density profiles with EP drive shifted away from the qmin.

关键词： reversed shear alfvén eigenmode symmetry breaking energetic particles non-perturbative effects

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nonlinear excitation of a geodesic acoustic mode by reversed shear alfvén eignemodes

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Plasma Science and Technology 2022年第2期24卷 57-61页

作者： Yahui WAnG Tao WAnG Shizhao WEI Zhiyong QIU Institute for Fusion Theory and Simulation and Department of Physics Zhejiang UniversityHangzhou 310027People's Republic of China Center for nonlinear Plasma Science and EnEA C.R.Frascati Frascati 65-00044Italy

The parametric decay process of a reversed shear alfvén eigenmeode(RSAE)into a geodesic acoustic mode and a kinetic RSAE is investigated using nonlinear gyrokinetic *** excitation conditions mainly require the pump RSAE amplitude to exceed a certain threshold,which could be readily satisfied in burning plasmas operated in steady-state advanced *** decay process can contribute to thermal plasma heating and confinement improvement.

关键词： reversed shear alfvén eigenmode geodesic acoustic mode gyrokinetic theory nonlinear mode coupling burning plasmas alpha channelling

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