Avalanche transport of energetic-ions in magnetic confinement plasmas: nonlinear multiple wave-number simulation

Zhu, X.L.; Chen, W.; Podestà, M.; Wang, F.; Liu, D.; Wang, Z.X.

doi:10.1088/1741-4326/ac38c6

Title: Avalanche transport of energetic-ions in magnetic confinement plasmas: nonlinear multiple wave-number simulation

Journal Article · Wed Dec 08 00:00:00 EST 2021 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/ac38c6· OSTI ID:1856183

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^[3]; Wang, F. ^[1];

^[4]; Wang, Z.X. ^[1]

Dalian Univ. of Technology (China)
Southwestern Institute of Physics, Chengdu (China)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
General Atomics, San Diego, CA (United States)

Large burst activity, identified as toroidal Alfvén eigenmode (TAE) avalanche, occurs frequently in neutral-beam heated plasmas in National Spherical Torus Experiment (NSTX). Based on the typical experimental observation of TAE avalanche on NSTX, a self-consistent nonlinear multiple wave-number (k_∥ ≃ n/R, where n toroidal mode-number and R major radius) simulation associated with TAE avalanches is performed using the experimental parameters and profiles before the occurrence of TAE avalanche as the M3D-K input. The wave–wave nonlinear coupling among different modes and the resonant interaction between different modes and energetic-ions during TAE avalanches are identified in the nonlinear multiple wave-number simulations. The resonance overlap during the TAE avalanche is clearly observed in the simulation. It is found that the effective wave–wave coupling and a sufficiently strong drive are two important ingredients for the onset of TAE avalanches. TAE avalanche is considered to be a strongly nonlinear process and it is always accompanied by the simultaneous rapid frequency-chirping and large amplitude bursting of multiple modes and significant energetic-ion losses. The experimental phenomenon is observed on NSTX and is qualitatively reproduced by the simulation results in this work. These findings indicate that the onset of avalanche is triggered by nonlinearity of the system, and are also conducive to understanding the underlying mechanism of avalanche transport of energetic particles in the future burning plasmas, such as International Thermonuclear Experiment Reactor.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Key Research and Development Program of China; the National Natural Science Foundation of China; China Postdoctoral Science Foundation; Fundament Research Funds for the Central Universities

Grant/Contract Number:: AC02-09CH11466; 2019YFE03020000; 11925501; 11835010; 2021M700674; DUT9TD5

OSTI ID:: 1856183

Journal Information:: Nuclear Fusion, Vol. 62, Issue 1; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

References (43)

Stochastic orbit loss of neutral beam ions from NSTX due to toroidal Alfvén eigenmode avalanches Darrow, D. S.; Crocker, N.; Fredrickson, E. D. Nuclear Fusion, Vol. 53, Issue 1 https://doi.org/10.1088/0029-5515/53/1/013009	journal	December 2012
Analysis of the nonlinear behavior of shear-Alfvén modes in tokamaks based on Hamiltonian mapping techniques Briguglio, S.; Wang, X.; Zonca, F. Physics of Plasmas, Vol. 21, Issue 11 https://doi.org/10.1063/1.4901028	journal	November 2014
Fast-ion energy loss during TAE avalanches in the National Spherical Torus Experiment Fredrickson, E. D.; Crocker, N. A.; Darrow, D. S. Nuclear Fusion, Vol. 53, Issue 1 https://doi.org/10.1088/0029-5515/53/1/013006	journal	December 2012
Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas* Zhu, Xiao-Long; Wang, Feng; Wang, Zheng-Xiong Chinese Physics B, Vol. 29, Issue 2 https://doi.org/10.1088/1674-1056/ab610e	journal	February 2020
Linear stability and nonlinear dynamics of the fishbone mode in spherical tokamaks Wang, Feng; Fu, G. Y.; Breslau, J. A. Physics of Plasmas, Vol. 20, Issue 10 https://doi.org/10.1063/1.4824739	journal	October 2013
Study of chirping toroidicity-induced Alfvén eigenmodes in the National Spherical Torus Experiment Podestà, M.; Bell, R. E.; Bortolon, A. Nuclear Fusion, Vol. 52, Issue 9 https://doi.org/10.1088/0029-5515/52/9/094001	journal	September 2012
M3D-K simulations of sawteeth and energetic particle transport in tokamak plasmas Shen, Wei; Fu, G. Y.; Sheng, Zheng-Mao Physics of Plasmas, Vol. 21, Issue 9 https://doi.org/10.1063/1.4896341	journal	September 2014
Hybrid simulation of fishbone instabilities in the EAST tokamak Shen, Wei; Wang, Feng; Fu, G. Y. Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa7f9c	journal	August 2017
Chapter 5: Physics of energetic ions Drive, ITER Physics Expert Group on Energe; Editors, ITER Physics Basis Nuclear Fusion, Vol. 39, Issue 12 https://doi.org/10.1088/0029-5515/39/12/305	journal	December 1999
Dynamics of low- n shear Alfvén modes driven by energetic N-NB ions in JT-60U Bierwage, A.; Todo, Y.; Aiba, N. Nuclear Fusion, Vol. 54, Issue 10 https://doi.org/10.1088/0029-5515/54/10/104001	journal	October 2014
Experimental studies on fast-ion transport by Alfvén wave avalanches on the National Spherical Torus Experiment Podestà, M.; Heidbrink, W. W.; Liu, D. Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3080724	journal	May 2009
Energetic ion transport by abrupt large-amplitude event induced by negative-ion-based neutral beam injection in the JT-60U Ishikawa, M.; Takechi, M.; Shinohara, K. Nuclear Fusion, Vol. 45, Issue 12 https://doi.org/10.1088/0029-5515/45/12/002	journal	November 2005
Mechanisms of energetic-particle transport in magnetically confined plasmas Heidbrink, W. W.; White, R. B. Physics of Plasmas, Vol. 27, Issue 3 https://doi.org/10.1063/1.5136237	journal	March 2020
Nonlocal transport in toroidal plasma devices Spizzo, Gianluca; White, Roscoe; Maraschek, Marc Nuclear Fusion, Vol. 59, Issue 1 https://doi.org/10.1088/1741-4326/aaf07c	journal	December 2018
Simulation of Alfvénic avalanche onset in NSTX White, R. B.; Duarte, V. N.; Gorelenkov, N. N. Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5136236	journal	February 2020
Hybrid-kinetic simulation of resonant interaction between energetic-ions and tearing modes in a tokamak plasma Zhu, Xiao-Long; Chen, Wei; Wang, Feng Nuclear Fusion, Vol. 60, Issue 4 https://doi.org/10.1088/1741-4326/ab742f	journal	March 2020
Modeling fast-ion transport during toroidal Alfvén eigenmode avalanches in National Spherical Torus Experiment Fredrickson, E. D.; Crocker, N. A.; Bell, R. E. Physics of Plasmas, Vol. 16, Issue 12 https://doi.org/10.1063/1.3265965	journal	December 2009
Solar flares and avalanches in driven dissipative systems Lu, Edward T.; Hamilton, Russell J.; McTiernan, J. M. The Astrophysical Journal, Vol. 412 https://doi.org/10.1086/172966	journal	July 1993
Observation of global Alfvén eigenmode avalanche events on the National Spherical Torus Experiment Fredrickson, E. D.; Gorelenkov, N. N.; Belova, E. Nuclear Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0029-5515/52/4/043001	journal	March 2012
Nonlinear Excitation of Subcritical Instabilities in a Toroidal Plasma Lesur, M.; Itoh, K.; Ido, T. Physical Review Letters, Vol. 116, Issue 1 https://doi.org/10.1103/physrevlett.116.015003	journal	January 2016
Resonant interaction of tearing modes with energetic-ions resulting in fishbone activities on HL-2A Chen, W.; Zhu, X. L.; Wang, F. Nuclear Fusion, Vol. 59, Issue 9 https://doi.org/10.1088/1741-4326/ab2bc6	journal	August 2019
Strong Destabilization of Stable Modes with a Half-Frequency Associated with Chirping Geodesic Acoustic Modes in the Large Helical Device Ido, T.; Itoh, K.; Osakabe, M. Physical Review Letters, Vol. 116, Issue 1 https://doi.org/10.1103/physrevlett.116.015002	journal	January 2016
Hybrid simulations of reversed shear Alfvén eigenmodes and related nonlinear resonance with fast ions in a tokamak plasma Yang, Y. R.; Chen, W.; Ye, M. Y. Nuclear Fusion, Vol. 60, Issue 10 https://doi.org/10.1088/1741-4326/aba673	journal	September 2020
Alfvén eigenmodes driven by Alfvénic beam ions in JT-60U Shinohara, K.; Kusama, Y.; Takechi, M. Nuclear Fusion, Vol. 41, Issue 5 https://doi.org/10.1088/0029-5515/41/5/313	journal	May 2001
Hybrid simulation of fishbone instabilities with reversed safety factor profile Shen, Wei; Wang, Feng; Fu, G. Y. Nuclear Fusion, Vol. 60, Issue 10 https://doi.org/10.1088/1741-4326/abab50	journal	September 2020
Transition from weak to strong energetic ion transport in burning plasmas Zonca, F.; Briguglio, S.; Chen, L. Nuclear Fusion, Vol. 45, Issue 6 https://doi.org/10.1088/0029-5515/45/6/009	journal	May 2005
Numerical simulation of bump‐on‐tail instability with source and sink Berk, H. L.; Breizman, B. N.; Pekker, M. Physics of Plasmas, Vol. 2, Issue 8 https://doi.org/10.1063/1.871198	journal	August 1995
Nonlinear simulation of toroidal Alfvén eigenmode with source and sink Lang, Jianying; Fu, Guo-Yong; Chen, Yang Physics of Plasmas, Vol. 17, Issue 4 https://doi.org/10.1063/1.3394702	journal	April 2010
Kinetic electromagnetic instabilities in an ITB plasma with weak magnetic shear Chen, W.; Yu, D. L.; Ma, R. R. Nuclear Fusion, Vol. 58, Issue 5 https://doi.org/10.1088/1741-4326/aaaece	journal	March 2018
Nonlinear fishbone dynamics in spherical tokamaks Wang, Feng; Fu, G. Y.; Shen, Wei Nuclear Fusion, Vol. 57, Issue 1, Article No. 016034 https://doi.org/10.1088/0029-5515/57/1/016034	journal	November 2016
Role of convective amplification of n = 1 energetic particle modes for N-NB ion dynamics in JT-60U Bierwage, A.; Shinohara, K.; Aiba, N. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073007	journal	May 2013
Orbit-based analysis of nonlinear energetic ion dynamics in tokamaks. I. Effective mode number profile and resonant frequency tracking Bierwage, Andreas; Shinohara, Kouji Physics of Plasmas, Vol. 23, Issue 4 https://doi.org/10.1063/1.4947033	journal	April 2016
Avalanches driven by pressure gradients in a magnetized plasma Van Compernolle, B.; Morales, G. J. Physics of Plasmas, Vol. 24, Issue 11 https://doi.org/10.1063/1.5001321	journal	November 2017
Experimental observation of the non-diffusive avalanche-like electron heat transport events and their dynamical interaction with the shear flow structure Choi, Minjun J.; Jhang, Hogun; Kwon, Jae-Min Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab247d	journal	June 2019
Simulations tackle abrupt massive migrations of energetic beam ions in a tokamak plasma Bierwage, Andreas; Shinohara, Kouji; Todo, Yasushi Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05779-0	journal	August 2018
Avalanche electron heat transport events triggered by non-linear mode couplings in HL-2A neutral beam injection heated L-mode plasmas Chen, W.; Shi, Z. B.; Qiu, Z. Y. Nuclear Fusion, Vol. 60, Issue 9 https://doi.org/10.1088/1741-4326/aba5a5	journal	August 2020
Hybrid simulation of toroidal Alfvén eigenmode on the National Spherical Torus Experiment Liu, D.; Fu, G. Y.; Crocker, N. A. Physics of Plasmas, Vol. 22, Issue 4 https://doi.org/10.1063/1.4917523	journal	April 2015
Global hybrid simulations of energetic particle effects on the n=1 mode in tokamaks: Internal kink and fishbone instability Fu, G. Y.; Park, W.; Strauss, H. R. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2203604	journal	May 2006
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
Plasma simulation studies using multilevel physics models Park, W.; Belova, E. V.; Fu, G. Y. Physics of Plasmas, Vol. 6, Issue 5 https://doi.org/10.1063/1.873437	journal	May 1999
Fast ion loss in a ‘sea-of-TAE’ Fredrickson, E. D.; Gorelenkov, N. N.; Bell, R. E. Nuclear Fusion, Vol. 46, Issue 10 https://doi.org/10.1088/0029-5515/46/10/s09	journal	September 2006
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
Nonlinear dynamics of phase space zonal structures and energetic particle physics in fusion plasmas Zonca, F.; Chen, L.; Briguglio, S. New Journal of Physics, Vol. 17, Issue 1 https://doi.org/10.1088/1367-2630/17/1/013052	journal	January 2015

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