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Title: Nonlinear co-existence of beta-induced Alfvén eigenmodes and beta-induced Alfvén-acoustic eigenmodes

Abstract

The nonlinear co-existence of β–induced Alfvén eigenmode (BAE) and β–induced Alfvén-acoustic eigenmode (BAAE) is found in simulations using the gyrokinetic toroidal code, which provides a new mechanism responsible for BAAE excitation in tokamaks. In this work, the normalized pressure β is the ratio between plasma thermal pressure and magnetic pressure. The nonlinear simulation findings show that the BAAE branch emerges after the BAE branch is saturated. The mode structure's evolution shows that existence of BAAE will change the original BAE mode structure. The perturbed distribution functions in the velocity phase space show that a new resonance region manifesting the wave-particle resonance in the BAAE branch appears during the nonlinear co-existence stage.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3];  [1];  [4];  [4]
  1. Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China)
  2. Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China); Univ. of California, Irvine, CA (United States)
  3. Univ. of California, Irvine, CA (United States); Peking Univ., Beijing (China)
  4. Chinese Academy of Sciences (CAS), Beijing (China)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1543847
Alternate Identifier(s):
OSTI ID: 1395383
Grant/Contract Number:  
AC02-05CH11231; AC05-00OR22725; AC02-05-CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 9; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Cheng, Junyi, Zhang, Wenlu, Lin, Zhihong, Li, Ding, Dong, Chao, and Cao, Jintao. Nonlinear co-existence of beta-induced Alfvén eigenmodes and beta-induced Alfvén-acoustic eigenmodes. United States: N. p., 2017. Web. doi:10.1063/1.5004676.
Cheng, Junyi, Zhang, Wenlu, Lin, Zhihong, Li, Ding, Dong, Chao, & Cao, Jintao. Nonlinear co-existence of beta-induced Alfvén eigenmodes and beta-induced Alfvén-acoustic eigenmodes. United States. https://doi.org/10.1063/1.5004676
Cheng, Junyi, Zhang, Wenlu, Lin, Zhihong, Li, Ding, Dong, Chao, and Cao, Jintao. Thu . "Nonlinear co-existence of beta-induced Alfvén eigenmodes and beta-induced Alfvén-acoustic eigenmodes". United States. https://doi.org/10.1063/1.5004676. https://www.osti.gov/servlets/purl/1543847.
@article{osti_1543847,
title = {Nonlinear co-existence of beta-induced Alfvén eigenmodes and beta-induced Alfvén-acoustic eigenmodes},
author = {Cheng, Junyi and Zhang, Wenlu and Lin, Zhihong and Li, Ding and Dong, Chao and Cao, Jintao},
abstractNote = {The nonlinear co-existence of β–induced Alfvén eigenmode (BAE) and β–induced Alfvén-acoustic eigenmode (BAAE) is found in simulations using the gyrokinetic toroidal code, which provides a new mechanism responsible for BAAE excitation in tokamaks. In this work, the normalized pressure β is the ratio between plasma thermal pressure and magnetic pressure. The nonlinear simulation findings show that the BAAE branch emerges after the BAE branch is saturated. The mode structure's evolution shows that existence of BAAE will change the original BAE mode structure. The perturbed distribution functions in the velocity phase space show that a new resonance region manifesting the wave-particle resonance in the BAAE branch appears during the nonlinear co-existence stage.},
doi = {10.1063/1.5004676},
journal = {Physics of Plasmas},
number = 9,
volume = 24,
place = {United States},
year = {Thu Sep 28 00:00:00 EDT 2017},
month = {Thu Sep 28 00:00:00 EDT 2017}
}

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Cited by: 7 works
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Works referenced in this record:

Predictions and observations of global beta-induced Alfvén—acoustic modes in JET and NSTX
journal, November 2007


Observation of beta-induced Alfvén eigenmodes in the DIII-D tokamak
journal, August 1993


Observation of internal kink instability purely driven by suprathermal electrons in the HL-1M tokamak
journal, May 2002


Linear properties of reversed shear Alfvén eigenmodes in the DIII-D tokamak
journal, March 2012


A numerical study of the high‐ n shear Alfvén spectrum gap and the high‐ n gap mode
journal, November 1992

  • Chu, M. S.; Greene, J. M.; Lao, L. L.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11
  • DOI: 10.1063/1.860327

Theory of plasma transport induced by low-frequency hydromagnetic waves
journal, February 1999

  • Chen, Liu
  • Journal of Geophysical Research: Space Physics, Vol. 104, Issue A2
  • DOI: 10.1029/1998JA900051

Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak
journal, October 1989

  • Fu, G. Y.; Van Dam, J. W.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10
  • DOI: 10.1063/1.859057

Stability of neutral beam driven TAE modes in DIII-D
journal, December 1993


Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. II. Resistive tearing mode
journal, December 2014

  • Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4905074

Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. I. Internal kink mode
journal, December 2014

  • McClenaghan, J.; Lin, Z.; Holod, I.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4905073

Predictions and observations of low-shear beta-induced shear Alfvén–acoustic eigenmodes in toroidal plasmas
journal, October 2007


Investigation of Beta-Induced Alfvén Eigenmode during Strong Tearing Mode Activity in the HL-2A Tokamak
journal, March 2010

  • Chen, Wei; Xiaoquan, textscJi; Qingwei, textscYang
  • Journal of the Physical Society of Japan, Vol. 79, Issue 4
  • DOI: 10.1143/JPSJ.79.044501

Particle simulation of lower hybrid wave propagation in fusion plasmas
journal, August 2014


Global gyrokinetic particle simulation of toroidal Alfvén eigenmodes excited by antenna and fast ions
journal, February 2012

  • Zhang, Wenlu; Holod, Ihor; Lin, Zhihong
  • Physics of Plasmas, Vol. 19, Issue 2
  • DOI: 10.1063/1.3685703

Observation of MHD Instabilities Driven by Energetic Electrons in the Large Helical Device
journal, March 2015

  • Isobe, Mitsutaka; Ogawa, Kunihiro; Shimizu, Akihiro
  • Plasma Science and Technology, Vol. 17, Issue 4
  • DOI: 10.1088/1009-0630/17/4/03

Theory of Alfvén eigenmodes in shear reversed plasmas
journal, September 2003

  • Breizman, B. N.; Berk, H. L.; Pekker, M. S.
  • Physics of Plasmas, Vol. 10, Issue 9
  • DOI: 10.1063/1.1597495

Non-linear dynamics of toroidicity-induced Alfvén eigenmodes on the National Spherical Torus Experiment
journal, May 2011


Excitation of beta Alfvén eigenmodes in Tore-Supra
journal, August 2009


Low-frequency Alfvén eigenmodes during the sawtooth cycle at ASDEX Upgrade
journal, April 2012


High‐frequency core localized modes in neutral beam heated plasmas on TFTR
journal, February 1996

  • Nazikian, R.; Chang, Z.; Fredrickson, E. D.
  • Physics of Plasmas, Vol. 3, Issue 2
  • DOI: 10.1063/1.871887

On energetic-particle excitations of low-frequency Alfvén eigenmodes in toroidal plasma
journal, July 2017

  • Chen, Liu; Zonca, Fulvio
  • Physics of Plasmas, Vol. 24, Issue 7
  • DOI: 10.1063/1.4993056

Internal Kink Instability during Off-Axis Electron Cyclotron Current Drive in the DIII-D Tokamak
journal, July 2000


β -Induced Alfvén Eigenmodes Destabilized by Energetic Electrons in a Tokamak Plasma
journal, October 2010


Beta-induced Alfvén-acoustic eigenmodes in stellarator plasmas with low shear
journal, January 2010

  • Eremin, D. Yu.; Könies, A.
  • Physics of Plasmas, Vol. 17, Issue 1
  • DOI: 10.1063/1.3277261

Kinetic structures of shear Alfvén and acoustic wave spectra in burning plasmas
journal, November 2010


Gyrokinetic particle simulation of microturbulence for general magnetic geometry and experimental profiles
journal, February 2015

  • Xiao, Yong; Holod, Ihor; Wang, Zhixuan
  • Physics of Plasmas, Vol. 22, Issue 2
  • DOI: 10.1063/1.4908275

Gyrokinetic particle simulation of beta-induced Alfven-acoustic eigenmode
journal, April 2016

  • Zhang, H. S.; Liu, Y. Q.; Lin, Z.
  • Physics of Plasmas, Vol. 23, Issue 4
  • DOI: 10.1063/1.4947205

Plasma pressure effect on Alfvén cascade eigenmodes
journal, November 2005

  • Breizman, B. N.; Pekker, M. S.; Sharapov, S. E.
  • Physics of Plasmas, Vol. 12, Issue 11
  • DOI: 10.1063/1.2130692

Experiment-theory comparison for low frequency BAE modes in the strongly shaped H-1NF stellarator
journal, August 2015


Transport of Energetic Particles by Microturbulence in Magnetized Plasmas
journal, August 2008


Verification of nonlinear particle simulation of radio frequency waves in tokamak
journal, October 2015

  • Kuley, A.; Lin, Z.; Bao, J.
  • Physics of Plasmas, Vol. 22, Issue 10
  • DOI: 10.1063/1.4934606

Fast-ion transport induced by Alfvén eigenmodes in the ASDEX Upgrade tokamak
journal, August 2011


Observation of high-frequency waves during strong tearing mode activity in FTU plasmas without fast ions
journal, October 2005


Analytic studies of dispersive properties of shear Alfvén and acoustic wave spectra in tokamaks
journal, May 2014

  • Chavdarovski, Ilija; Zonca, Fulvio
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876000

Fast particle destabilization of toroidal Alfven eigenmodes
journal, December 1995


MHD induced neutral beam ion loss from NSTX plasmas
journal, June 2008


Electromagnetic formulation of global gyrokinetic particle simulation in toroidal geometry
journal, December 2009

  • Holod, I.; Zhang, W. L.; Xiao, Y.
  • Physics of Plasmas, Vol. 16, Issue 12
  • DOI: 10.1063/1.3273070

A fluid–kinetic hybrid electron model for electromagnetic simulations
journal, May 2001


Kinetic theory of low-frequency Alfvén modes in tokamaks
journal, November 1996

  • Zonca, Fulvio; Chen, Liu; Santoro, Robert A.
  • Plasma Physics and Controlled Fusion, Vol. 38, Issue 11
  • DOI: 10.1088/0741-3335/38/11/011

Trapped electron damping of geodesic acoustic mode
journal, July 2010


Turbulent Transport of Trapped-Electron Modes in Collisionless Plasmas
journal, August 2009


Foundations of nonlinear gyrokinetic theory
journal, April 2007


Energetic particle effects as an explanation for the low frequencies of Alfvén modes in the DIII-D tokamak
journal, February 2002


Gyrokinetic particle simulation of fast-electron driven beta-induced Aflvén eigenmode
journal, May 2016

  • Cheng, Junyi; Zhang, Wenlu; Lin, Zhihong
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4948487

Destabilization of beta-induced Alfvén eigenmodes in the HL-2A tokamak
journal, May 2011


Gyrokinetic particle simulation model
journal, September 1987


Theoretical Interpretation of Alfvén Cascades in Tokamaks with Nonmonotonic q Profiles
journal, October 2001


Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998


Beta-induced Alfvén-acoustic eigenmodes in National Spherical Torus Experiment and DIII-D driven by beam ions
journal, May 2009

  • Gorelenkov, N. N.; Van Zeeland, M. A.; Berk, H. L.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3097920

Excitation of low frequency Alfven eigenmodes in toroidal plasmas
journal, July 2017


Method for solving the gyrokinetic Poisson equation in general geometry
journal, November 1995


Nonlinear dynamics of beta-induced Alfvén eigenmode driven by energetic particles
journal, October 2012


What is the “beta-induced Alfvén eigenmode?”
journal, April 1999

  • Heidbrink, W. W.; Ruskov, E.; Carolipio, E. M.
  • Physics of Plasmas, Vol. 6, Issue 4
  • DOI: 10.1063/1.873359

Plasma simulation studies using multilevel physics models
journal, May 1999

  • Park, W.; Belova, E. V.; Fu, G. Y.
  • Physics of Plasmas, Vol. 6, Issue 5
  • DOI: 10.1063/1.873437

Energetic-Electron-Driven Instability in the Helically Symmetric Experiment
journal, July 2009


Nonlinear dynamics of beta-induced Alfvén eigenmode in tokamak
journal, January 2013

  • Zhang, H. S.; Lin, Z.; Deng, W.
  • Physics of Plasmas, Vol. 20, Issue 1
  • DOI: 10.1063/1.4776698

Nonlinear Frequency Oscillation of Alfvén Eigenmodes in Fusion Plasmas
journal, July 2012


Works referencing / citing this record:

Verification of an energetic-electron-driven β -induced Alfvén eigenmode in the HL-2A tokamak
journal, October 2019

  • Chen, Yang; Zhang, Wenlu; Cheng, Junyi
  • Physics of Plasmas, Vol. 26, Issue 10
  • DOI: 10.1063/1.5115811