Gyrokinetic particle simulation of beta-induced Alfvén eigenmode

Zhang, H. S.; Lin, Z.; Holod, I.; Wang, X.; Xiao, Y.; Zhang, W. L.

doi:10.1063/1.3498761

Gyrokinetic particle simulation of beta-induced Alfvén eigenmode

Journal Article · Tue Nov 09 00:00:00 EST 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3498761· OSTI ID:1564760

Zhang, H. S. ^[1]; Lin, Z. ^[2]; Holod, I. ^[2]; Wang, X. ^[3]; Xiao, Y. ^[2]; Zhang, W. L. ^[4]

Peking Univ., Beijing (China). Fusion Simulation Center and State Key Laboratory of Nuclear Physics and Technology; Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy
Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy
Zhejiang Univ. Hangzhou (China). Inst. for Fusion Theory and Simulation; Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy
Univ. of Science and Technology of China, Anhui (China). CAS Key Lab of Plasma Physics; Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy

The beta-induced Alfvén eigenmode (BAE) in toroidal plasmas is studied using global gyrokinetic particle simulations. The BAE real frequency and damping rate measured in the initial perturbation simulation and in the antenna excitation simulation agree well with each other. The real frequency is slightly higher than the ideal magnetohydrodynamic (MHD) accumulation point frequency due to the kinetic effects of thermal ions. Simulations with energetic particle density gradient show exponential growth of BAE with a growth rate sensitive to the energetic particle temperature and density. The nonperturbative contributions by energetic particles modify the mode structure and reduce the frequency relative to the MHD theory. Here, the finite Larmor radius effects of energetic particles reduce the BAE growth rate. Benchmarks between gyrokinetic particle simulation and hybrid MHD-gyrokinetic simulation show good agreement in BAE real frequency and mode structure.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC)

OSTI ID:: 1564760

Alternate ID(s):: OSTI ID: 21531981

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 17; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

High-n ideal and resistive shear Alfvén waves in tokamaks Cheng, C. Z.; Chen, Liu; Chance, M. S. Annals of Physics, Vol. 161, Issue 1 https://doi.org/10.1016/0003-4916(85)90335-5	journal	April 1985
Gyrokinetic particle simulation model Lee, W. W. Journal of Computational Physics, Vol. 72, Issue 1 https://doi.org/10.1016/0021-9991(87)90080-5	journal	September 1987
A fluid–kinetic hybrid electron model for electromagnetic simulations Lin, Zhihong; Chen, Liu Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1356438	journal	May 2001
Geodesic Acoustic Waves in Hydromagnetic Systems Winsor, Niels Physics of Fluids, Vol. 11, Issue 11 https://doi.org/10.1063/1.1691835	journal	January 1968
Plasma pressure effect on Alfvén cascade eigenmodes Breizman, B. N.; Pekker, M. S.; Sharapov, S. E. Physics of Plasmas, Vol. 12, Issue 11 https://doi.org/10.1063/1.2130692	journal	November 2005
Electromagnetic global gyrokinetic simulation of shear Alfven wave dynamics in tokamak plasmas Nishimura, Y.; Lin, Z.; Wang, W. X. Physics of Plasmas, Vol. 14, Issue 4 https://doi.org/10.1063/1.2718908	journal	April 2007
Variational derivation of the dispersion relation of kinetic coherent modes in the acoustic frequency range in tokamaks Nguyen, C.; Garbet, X.; Smolyakov, A. I. Physics of Plasmas, Vol. 15, Issue 11 https://doi.org/10.1063/1.3008048	journal	November 2008
Excitation of low-n toroidicity induced Alfvén eigenmodes by energetic particles in global gyrokinetic tokamak plasmas Nishimura, Y. Physics of Plasmas, Vol. 16, Issue 3 https://doi.org/10.1063/1.3088028	journal	March 2009
Electromagnetic formulation of global gyrokinetic particle simulation in toroidal geometry Holod, I.; Zhang, W. L.; Xiao, Y. Physics of Plasmas, Vol. 16, Issue 12 https://doi.org/10.1063/1.3273070	journal	December 2009
Trapped electron damping of geodesic acoustic mode Zhang, H. S.; Lin, Z. Physics of Plasmas, Vol. 17, Issue 7 https://doi.org/10.1063/1.3447879	journal	July 2010
A numerical study of the high‐ n shear Alfvén spectrum gap and the high‐ n gap mode Chu, M. S.; Greene, J. M.; Lao, L. L. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11 https://doi.org/10.1063/1.860327	journal	November 1992
Theory of kinetic ballooning modes excited by energetic particles in tokamaks Tsai, Shih‐Tung; Chen, Liu Physics of Fluids B: Plasma Physics, Vol. 5, Issue 9 https://doi.org/10.1063/1.860624	journal	September 1993
Global Alfvén modes: Theory and experiment* Turnbull, A. D.; Strait, E. J.; Heidbrink, W. W. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7 https://doi.org/10.1063/1.860742	journal	July 1993
Modeling the excitation of global Alfvén modes by an external antenna in the Joint European Torus (JET) Huysmans, G. T. A.; Kerner, W.; Borba, D. Physics of Plasmas, Vol. 2, Issue 5 https://doi.org/10.1063/1.871310	journal	May 1995
Inertia and ion Landau damping of low‐frequency magnetohydrodynamical modes in tokamaks Bondeson, A.; Chu, M. S. Physics of Plasmas, Vol. 3, Issue 8 https://doi.org/10.1063/1.871637	journal	August 1996
High‐frequency core localized modes in neutral beam heated plasmas on TFTR Nazikian, R.; Chang, Z.; Fredrickson, E. D. Physics of Plasmas, Vol. 3, Issue 2 https://doi.org/10.1063/1.871887	journal	February 1996
Gyrokinetic‐magnetohydrodynamic hybrid simulation of the transition from toroidal Alfvén eigenmodes to kinetic ballooning modes in tokamaks Santoro, R. A.; Chen, Liu Physics of Plasmas, Vol. 3, Issue 6 https://doi.org/10.1063/1.871918	journal	June 1996
Hybrid magnetohydrodynamic-particle simulation of linear and nonlinear evolution of Alfvén modes in tokamaks Briguglio, S.; Zonca, F.; Vlad, G. Physics of Plasmas, Vol. 5, Issue 9 https://doi.org/10.1063/1.872997	journal	September 1998
What is the “beta-induced Alfvén eigenmode?” Heidbrink, W. W.; Ruskov, E.; Carolipio, E. M. Physics of Plasmas, Vol. 6, Issue 4 https://doi.org/10.1063/1.873359	journal	April 1999
Fast particle destabilization of toroidal Alfven eigenmodes Cheng, C. Z.; Gorelenkov, N. N.; Hsu, C. T. Nuclear Fusion, Vol. 35, Issue 12 https://doi.org/10.1088/0029-5515/35/12/I28	journal	December 1995
Energetic particle effects as an explanation for the low frequencies of Alfvén modes in the DIII-D tokamak Gorelenkov, N. N.; Heidbrink, W. W. Nuclear Fusion, Vol. 42, Issue 2 https://doi.org/10.1088/0029-5515/42/2/305	journal	February 2002
Observation of high-frequency waves during strong tearing mode activity in FTU plasmas without fast ions Buratti, P.; Smeulders, P.; Zonca, F. Nuclear Fusion, Vol. 45, Issue 11 https://doi.org/10.1088/0029-5515/45/11/027	journal	October 2005
The importance of parallel nonlinearity in the self-interaction of geodesic acoustic mode Zhang, H. S.; Qiu, Z.; Chen, L. Nuclear Fusion, Vol. 49, Issue 12 https://doi.org/10.1088/0029-5515/49/12/125009	journal	November 2009
Excitation of the beta-induced Alfvén eigenmodes by a magnetic island Marchenko, V. S.; Reznik, S. N. Nuclear Fusion, Vol. 49, Issue 2 https://doi.org/10.1088/0029-5515/49/2/022002	journal	December 2008
High-frequency fishbones at JET: theoretical interpretation of experimental observations Zonca, F.; Chen, L.; Botrugno, A. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085009	journal	July 2009
Electromagnetic effects on geodesic acoustic and beta-induced Alfvén eigenmodes Smolyakov, A. I.; Nguyen, C.; Garbet, X. Nuclear Fusion, Vol. 50, Issue 5 https://doi.org/10.1088/0029-5515/50/5/054002	journal	April 2010
Linear and nonlinear evolution of alpha-particle driven gap modes Briguglio, S.; Kar, C.; Romanelli, F. Plasma Physics and Controlled Fusion, Vol. 37, Issue 11A https://doi.org/10.1088/0741-3335/37/11A/019	journal	November 1995
Kinetic theory of low-frequency Alfvén modes in tokamaks Zonca, Fulvio; Chen, Liu; Santoro, Robert A. Plasma Physics and Controlled Fusion, Vol. 38, Issue 11 https://doi.org/10.1088/0741-3335/38/11/011	journal	November 1996
Global gyrokinetic particle simulations with kinetic electrons Lin, Z.; Nishimura, Y.; Xiao, Y. Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B https://doi.org/10.1088/0741-3335/49/12B/S15	journal	November 2007
Excitation of beta-induced Alfvén eigenmodes in the presence of a magnetic island Annibaldi, S. V.; Zonca, F.; Buratti, P. Plasma Physics and Controlled Fusion, Vol. 49, Issue 4 https://doi.org/10.1088/0741-3335/49/4/010	journal	March 2007
Kinetic Alfvén eigenmodes at ASDEX Upgrade Lauber, Ph; Brüdgam, M.; Curran, D. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124009	journal	November 2009
Excitation of beta Alfvén eigenmodes in Tore-Supra Nguyen, C.; Garbet, X.; Sabot, R. Plasma Physics and Controlled Fusion, Vol. 51, Issue 9 https://doi.org/10.1088/0741-3335/51/9/095002	journal	August 2009
Theory and simulation of discrete kinetic beta induced Alfvén eigenmode in tokamak plasmas Wang, X.; Zonca, F.; Chen, L. Plasma Physics and Controlled Fusion, Vol. 52, Issue 11 https://doi.org/10.1088/0741-3335/52/11/115005	journal	September 2010
Active excitation and damping rate measurement of intermediate- n toroidal Alfvén eigenmodes in JET, C-Mod and MAST plasmas Fasoli, A.; Testa, D.; Panis, T. Plasma Physics and Controlled Fusion, Vol. 52, Issue 7 https://doi.org/10.1088/0741-3335/52/7/075015	journal	June 2010
Method for solving the gyrokinetic Poisson equation in general geometry Lin, Z.; Lee, W. W. Physical Review E, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevE.52.5646	journal	November 1995
Observation of beta-induced Alfvén eigenmodes in the DIII-D tokamak Heidbrink, W. W.; Strait, E. J.; Chu, M. S. Physical Review Letters, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevLett.71.855	journal	August 1993
Direct Measurement of the Damping of Toroidicity-Induced Alfvén Eigenmodes Fasoli, A.; Borba, D.; Bosia, G. Physical Review Letters, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevLett.75.645	journal	July 1995
Foundations of nonlinear gyrokinetic theory Brizard, A. J.; Hahm, T. S. Reviews of Modern Physics, Vol. 79, Issue 2 https://doi.org/10.1103/RevModPhys.79.421	journal	April 2007
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations Lin, Z. Science, Vol. 281, Issue 5384 https://doi.org/10.1126/science.281.5384.1835	journal	September 1998
Investigation of Beta-Induced Alfvén Eigenmode during Strong Tearing Mode Activity in the HL-2A Tokamak Chen, Wei; Xiaoquan, textscJi; Qingwei, textscYang Journal of the Physical Society of Japan, Vol. 79, Issue 4 https://doi.org/10.1143/JPSJ.79.044501	journal	March 2010
Theory of kinetic ballooning modes excited by energetic particles in tokamaks Tsai, Shih-Tung; Chen, Liu Physics of Fluids B: Plasma Physics https://doi.org/10.2172/10160878	report	May 1993
Theory of kinetic ballooning modes excited by energetic particles in tokamaks Tsai, Shih-Tung; Chen, Liu. Physics of Fluids B: Plasma Physics https://doi.org/10.2172/6423496	report	May 1993

Cited By (16)

Introduction to the interaction between energetic particles and Alfven eigenmodes in toroidal plasmas Todo, Y. Reviews of Modern Plasma Physics, Vol. 3, Issue 1 https://doi.org/10.1007/s41614-018-0022-9	journal	December 2018
Theoretical and numerical studies of wave-packet propagation in tokamak plasmas Lu, Z. X.; Zonca, F.; Cardinali, A. Physics of Plasmas, Vol. 19, Issue 4 https://doi.org/10.1063/1.3698626	journal	April 2012
Nonlinear electromagnetic formulation for particle-in-cell simulation of lower hybrid waves in toroidal geometry Bao, J.; Lin, Z.; Kuley, A. Physics of Plasmas, Vol. 23, Issue 6 https://doi.org/10.1063/1.4952773	journal	June 2016
Mode structure symmetry breaking of energetic particle driven beta-induced Alfvén eigenmode Lu, Z. X.; Wang, X.; Lauber, Ph. Physics of Plasmas, Vol. 25, Issue 1 https://doi.org/10.1063/1.5006678	journal	January 2018
Hybrid simulations of fishbone instabilities and Alfvén eigenmodes in DIII-D tokamak Ren, Zhen-Zhen; Fu, G. Y.; Van Zeeland, M. A. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5064647	journal	December 2018
Verification of an energetic-electron-driven β -induced Alfvén eigenmode in the HL-2A tokamak Chen, Yang; Zhang, Wenlu; Cheng, Junyi Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5115811	journal	October 2019
Gyrokinetic investigation of the damping channels of Alfvén modes in ASDEX Upgrade Vannini, F.; Biancalani, A.; Bottino, A. Physics of Plasmas, Vol. 27, Issue 4 https://doi.org/10.1063/1.5134979	journal	April 2020
Gyrokinetic simulation model for kinetic magnetohydrodynamic processes in magnetized plasmas Deng, W.; Lin, Z.; Holod, I. Nuclear Fusion, Vol. 52, Issue 2 https://doi.org/10.1088/0029-5515/52/2/023005	journal	January 2012
Energetic particle physics in fusion research in preparation for burning plasma experiments Gorelenkov, N. N.; Pinches, S. D.; Toi, K. Nuclear Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0029-5515/54/12/125001	journal	November 2014
Theoretical studies and simulations of mode structure symmetry breaking in tokamak plasmas in the presence of energetic particles Lu, Z. X.; Wang, X.; Lauber, Ph Plasma Physics and Controlled Fusion, Vol. 61, Issue 4 https://doi.org/10.1088/1361-6587/ab00c6	journal	March 2019
Kinetic effects of thermal ions and energetic particles on discrete kinetic BAE mode generation and symmetry breaking Lu, Z. X.; Wang, X.; Lauber, Ph. Nuclear Fusion, Vol. 58, Issue 8 https://doi.org/10.1088/1741-4326/aaae0f	journal	June 2018
Simulation of toroidicity-induced Alfven eigenmode excited by energetic ions in HL-2A tokamak plasmas He, Hongda; Cheng, Junyi; Dong, J. Q. Nuclear Fusion, Vol. 58, Issue 12 https://doi.org/10.1088/1741-4326/aae2c5	journal	October 2018
Beta induced Alfvén eigenmode driven by energetic ions on the HL-2A tokamak Shi, P. W.; Chen, W.; Shi, Z. B. Nuclear Fusion, Vol. 59, Issue 6 https://doi.org/10.1088/1741-4326/ab05ee	journal	May 2019
Nonlinear Frequency Oscillation of Alfvén Eigenmodes in Fusion Plasmas Zhang, H. S.; Lin, Z.; Holod, I. Physical Review Letters, Vol. 109, Issue 2 https://doi.org/10.1103/physrevlett.109.025001	journal	July 2012
Radial Localization of Toroidicity-Induced Alfvén Eigenmodes Wang, Zhixuan; Lin, Zhihong; Holod, Ihor Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/physrevlett.111.145003	journal	October 2013
Theoretical and numerical studies of wave-packet propagation in tokamak plasmas Lu, Z. X.; Zonca, F.; Cardinali, A. arXiv https://doi.org/10.48550/arxiv.1111.4622	text	January 2011

Similar Records

Gyrokinetic particle simulation of beta-induced Alfven eigenmode

Journal Article · Sun Nov 14 23:00:00 EST 2010 · Physics of Plasmas · OSTI ID:21531981

Gyrokinetic particle simulations of reversed shear Alfvén eigenmode excited by antenna and fast ions

Journal Article · Mon Nov 08 19:00:00 EST 2010 · Physics of Plasmas · OSTI ID:1564759

Comparison of toroidicity-induced Alfvén eigenmodes and energetic particle modes by gyrokinetic particle simulations

Journal Article · Wed May 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:22218610

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Physics

Gyrokinetic particle simulation of beta-induced Alfvén eigenmode

Citation Formats

References (42)

Cited By (16)

Similar Records

Related Subjects