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Title: Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance

Abstract

We report that conditions for net fast ion drive are derived for beam-driven, co-propagating, sub-cyclotron compressional (CAE) and global (GAE) Alfvén eigenmodes driven by the Landau resonance with super-Alfvénic fast ions. Approximations applicable to realistic neutral beam distributions and mode characteristics observed in spherical tokamaks enable the derivation of marginal stability conditions for these modes. Such conditions successfully reproduce the stability boundaries found from numerical integration of the exact expression for local fast ion drive/damping. Coupling between the CAE and GAE branches of the dispersion due to finite ω/ωci and |k/k| is retained and found to be responsible for the existence of the GAE instability via this resonance. Finally, encouraging agreement is demonstrated between the approximate stability criterion, simulation results, and a database of NSTX observations of co-CAEs.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [3]
  1. Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Univ. of California, Los Angeles, CA (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1616948
Alternate Identifier(s):
OSTI ID: 1600048
Grant/Contract Number:  
AC02-09CH11466; SC0011810
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 27; Journal Issue: 2; 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

Lestz, J. B., Gorelenkov, N. N., Belova, E. V., Tang, S. X., and Crocker, N. A. Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance. United States: N. p., 2020. Web. doi:10.1063/1.5127552.
Lestz, J. B., Gorelenkov, N. N., Belova, E. V., Tang, S. X., & Crocker, N. A. Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance. United States. https://doi.org/10.1063/1.5127552
Lestz, J. B., Gorelenkov, N. N., Belova, E. V., Tang, S. X., and Crocker, N. A. Tue . "Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance". United States. https://doi.org/10.1063/1.5127552. https://www.osti.gov/servlets/purl/1616948.
@article{osti_1616948,
title = {Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance},
author = {Lestz, J. B. and Gorelenkov, N. N. and Belova, E. V. and Tang, S. X. and Crocker, N. A.},
abstractNote = {We report that conditions for net fast ion drive are derived for beam-driven, co-propagating, sub-cyclotron compressional (CAE) and global (GAE) Alfvén eigenmodes driven by the Landau resonance with super-Alfvénic fast ions. Approximations applicable to realistic neutral beam distributions and mode characteristics observed in spherical tokamaks enable the derivation of marginal stability conditions for these modes. Such conditions successfully reproduce the stability boundaries found from numerical integration of the exact expression for local fast ion drive/damping. Coupling between the CAE and GAE branches of the dispersion due to finite ω/ωci and |k∥/k⊥| is retained and found to be responsible for the existence of the GAE instability via this resonance. Finally, encouraging agreement is demonstrated between the approximate stability criterion, simulation results, and a database of NSTX observations of co-CAEs.},
doi = {10.1063/1.5127552},
journal = {Physics of Plasmas},
number = 2,
volume = 27,
place = {United States},
year = {Tue Feb 18 00:00:00 EST 2020},
month = {Tue Feb 18 00:00:00 EST 2020}
}

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Works referenced in this record:

Spectrum of compressional Alfvén waves
journal, January 1983


Stability of the global Alfvén eigenmode in the presence of fusion alpha particles in an ignited tokamak plasma
journal, December 1989

  • Fu, G. Y.; Van Dam, J. W.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 12
  • DOI: 10.1063/1.859175

Discrete compressional Alfvén eigenmode spectrum in tokamaks
journal, September 2006


Compressional Alfvén eigenmode structure in spherical tokamaks
journal, May 2009


Localized fast magnetoacoustic eigenmodes in tokamak plasmas
journal, December 1998


Discrete Alfvén eigenmode spectrum in magnetohydrodynamics
journal, January 1983


Localization of compressional Alfvén eigenmodes in spherical tori
journal, May 2003

  • Smith, H.; Fülöp, T.; Lisak, M.
  • Physics of Plasmas, Vol. 10, Issue 5
  • DOI: 10.1063/1.1566441

Compressional Alfvén eigenmodes in rotating spherical tokamak plasmas
journal, February 2017


Emission in the ion cyclotron range of frequencies (ICE) on NSTX and NSTX-U
journal, March 2019

  • Fredrickson, E. D.; Gorelenkov, N. N.; Bell, R. E.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5081047

Internal amplitude, structure and identification of compressional and global Alfvén eigenmodes in NSTX
journal, March 2013


Alfven wave coupling experiments of the TCA Tokamak
journal, August 1982


Numerical simulations of global Alfvén eigenmodes excitation and stabilization in NSTX-U
journal, September 2019

  • Belova, E. V.; Fredrickson, E. D.; Lestz, J. B.
  • Physics of Plasmas, Vol. 26, Issue 9
  • DOI: 10.1063/1.5116357

Compressional Alfvén eigenmode dispersion in low aspect ratio plasmas
journal, August 2002

  • Gorelenkov, N. N.; Cheng, C. Z.; Fredrickson, E.
  • Physics of Plasmas, Vol. 9, Issue 8
  • DOI: 10.1063/1.1492803

Destabilization of global Alfvén eigenmodes and kinetic Alfvén waves by alpha particles in a tokamak plasma
journal, January 1987

  • Li, Yan Ming; Mahajan, Swadesh M.; Ross, David W.
  • Physics of Fluids, Vol. 30, Issue 5
  • DOI: 10.1063/1.866260

Energetic particle physics in fusion research in preparation for burning plasma experiments
journal, November 2014


Energetic-particle-modified global Alfvén eigenmodes
journal, April 2018

  • Lestz, J. B.; Belova, E. V.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 25, Issue 4
  • DOI: 10.1063/1.4998602

Bi-directional Alfvén cyclotron instabilities in the mega-amp spherical tokamak
journal, August 2014

  • Sharapov, S. E.; Lilley, M. K.; Akers, R.
  • Physics of Plasmas, Vol. 21, Issue 8
  • DOI: 10.1063/1.4891322

Excitation of global eigenmodes of the Alfven wave in Tokamaks
journal, September 1982


Kinetic theory of shear Alfvén waves
journal, January 1984


Kinetic description of Alfvén wave heating
journal, January 1982


Conventional and nonconventional global Alfvén eigenmodes in stellarators
journal, October 2007

  • Kolesnichenko, Ya. I.; Lutsenko, V. V.; Weller, A.
  • Physics of Plasmas, Vol. 14, Issue 10
  • DOI: 10.1063/1.2789558

NSTX/NSTX-U theory, modeling and analysis results
journal, June 2019


Suppression of Alfvén Modes on the National Spherical Torus Experiment Upgrade with Outboard Beam Injection
journal, June 2017


Compressional Alfvén Eigenmodes on MAST
journal, October 2008


Destabilization of fast magnetoacoustic waves by circulating energetic ions in toroidal plasmas
journal, December 2003

  • Belikov, V. S.; Kolesnichenko, Ya. I.; White, R. B.
  • Physics of Plasmas, Vol. 10, Issue 12
  • DOI: 10.1063/1.1625375

Non-linear modulation of short wavelength compressional Alfvén eigenmodes
journal, April 2013

  • Fredrickson, E. D.; Gorelenkov, N. N.; Podesta, M.
  • Physics of Plasmas, Vol. 20, Issue 4
  • DOI: 10.1063/1.4801663

Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas
journal, May 2008


Magnetosonic eigenmodes near the magnetic field well in a spherical torus
journal, November 1998

  • Gorelenkova, M. V.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 5, Issue 11
  • DOI: 10.1063/1.873133

Fast-wave heating of a two-component plasma
journal, October 1975


On the stabilization of fast magnetoacoustic waves by toroidally trapped energetic ions
journal, December 2004

  • Belikov, V. S.; Kolesnichenko, Ya. I.; White, R. B.
  • Physics of Plasmas, Vol. 11, Issue 12
  • DOI: 10.1063/1.1809121

Nonlinear simulations of beam-driven compressional Alfvén eigenmodes in NSTX
journal, April 2017

  • Belova, E. V.; Gorelenkov, N. N.; Crocker, N. A.
  • Physics of Plasmas, Vol. 24, Issue 4
  • DOI: 10.1063/1.4979278

Thermonuclear Instability of Global-Type Shear Alfvén Modes
journal, November 1990

  • van Dam, James W.; Fu, Guo-Yong; Cheng, C. Z.
  • Fusion Technology, Vol. 18, Issue 3
  • DOI: 10.13182/FST90-A29282

Observation of Compressional Alfvén Modes During Neutral-Beam Heating on the National Spherical Torus Experiment
journal, September 2001


Energetic particles in spherical tokamak plasmas
journal, March 2017

  • McClements, K. G.; Fredrickson, E. D.
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 5
  • DOI: 10.1088/1361-6587/aa626e

Compressional Alfvén eigenmode instability in NSTX
journal, August 2002


Self-consistent equilibrium model of low aspect-ratio toroidal plasma with energetic beam ions
journal, August 2003

  • Belova, E. V.; Gorelenkov, N. N.; Cheng, C. Z.
  • Physics of Plasmas, Vol. 10, Issue 8
  • DOI: 10.1063/1.1592155

Observation of Compressional Alfvén Modes During Neutral-Beam Heating on the National Spherical Torus Experiment
text, January 2001


Works referencing / citing this record: