Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. I. Interaction via ordinary and anomalous cyclotron resonances
Abstract
Conditions for net fast ion drive are derived for beam-driven, sub-cyclotron compressional (CAE) and global (GAE) Alfvén eigenmodes, such as those routinely observed in spherical tokamaks such as NSTX(-U) and MAST. Both co- and counter-propagating CAEs and GAEs are investigated, driven by the ordinary and anomalous Doppler-shifted cyclotron resonance with fast ions. Whereas prior results were restricted to vanishingly narrow distributions in velocity space, broad parameter regimes are identified in this work which enable an analytic treatment for realistic fast ion distributions generated by neutral beam injection. The simple, approximate conditions derived in these regimes for beam distributions of realistic width compare well to the numerical evaluation of the full analytic expressions for fast ion drive. Additionally, previous results in the very narrow beam case are corrected and generalized to retain all terms in ω/ωci and |k∥/k⊥|, which are often assumed to be small parameters but can significantly modify the conditions of drive and damping when they are non-negligible. Lastly, favorable agreement is demonstrated between the approximate stability criterion, simulation results, and a large database of NSTX observations of cntr-GAEs.
- Authors:
-
[1];
[2];
[2];
[3];
[3]
- Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- 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:
- 1616947
- Alternate Identifier(s):
- OSTI ID: 1600047
- 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. I. Interaction via ordinary and anomalous cyclotron resonances. United States: N. p., 2020.
Web. doi:10.1063/1.5127551.
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. I. Interaction via ordinary and anomalous cyclotron resonances. United States. https://doi.org/10.1063/1.5127551
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. I. Interaction via ordinary and anomalous cyclotron resonances". United States. https://doi.org/10.1063/1.5127551. https://www.osti.gov/servlets/purl/1616947.
@article{osti_1616947,
title = {Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. I. Interaction via ordinary and anomalous cyclotron resonances},
author = {Lestz, J. B. and Gorelenkov, N. N. and Belova, E. V. and Tang, S. X. and Crocker, N. A.},
abstractNote = {Conditions for net fast ion drive are derived for beam-driven, sub-cyclotron compressional (CAE) and global (GAE) Alfvén eigenmodes, such as those routinely observed in spherical tokamaks such as NSTX(-U) and MAST. Both co- and counter-propagating CAEs and GAEs are investigated, driven by the ordinary and anomalous Doppler-shifted cyclotron resonance with fast ions. Whereas prior results were restricted to vanishingly narrow distributions in velocity space, broad parameter regimes are identified in this work which enable an analytic treatment for realistic fast ion distributions generated by neutral beam injection. The simple, approximate conditions derived in these regimes for beam distributions of realistic width compare well to the numerical evaluation of the full analytic expressions for fast ion drive. Additionally, previous results in the very narrow beam case are corrected and generalized to retain all terms in ω/ωci and |k∥/k⊥|, which are often assumed to be small parameters but can significantly modify the conditions of drive and damping when they are non-negligible. Lastly, favorable agreement is demonstrated between the approximate stability criterion, simulation results, and a large database of NSTX observations of cntr-GAEs.},
doi = {10.1063/1.5127551},
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
- Mahajan, S. M.
- Physics of Fluids, Vol. 26, Issue 9
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
Discrete compressional Alfvén eigenmode spectrum in tokamaks
journal, September 2006
- Gorelenkov, N. N.; Fredrickson, E. D.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 46, Issue 10
Localized fast magnetoacoustic eigenmodes in tokamak plasmas
journal, December 1998
- Kolesnichenko, Ya. I.; Fülöp, T.; Lisak, M.
- Nuclear Fusion, Vol. 38, Issue 12
Discrete Alfvén eigenmode spectrum in magnetohydrodynamics
journal, January 1983
- Mahajan, S. M.
- Physics of Fluids, Vol. 26, Issue 8
Localization of compressional Alfvén eigenmodes in spherical tori
journal, May 2003
- Smith, H.; Fülöp, T.; Lisak, M.
- Physics of Plasmas, Vol. 10, Issue 5
Anomalous electron transport due to multiple high frequency beam ion driven Alfvén eigenmodes
journal, July 2010
- Gorelenkov, N. N.; Stutman, D.; Tritz, K.
- Nuclear Fusion, Vol. 50, Issue 8
Effects of energetic-ion-driven instabilities on plasma heating, transport and rotation in toroidal systems
journal, July 2010
- Kolesnichenko, Ya. I.; Yakovenko, Yu. V.; Lutsenko, V. V.
- Nuclear Fusion, Vol. 50, Issue 8
Internal amplitude, structure and identification of compressional and global Alfvén eigenmodes in NSTX
journal, March 2013
- Crocker, N. A.; Fredrickson, E. D.; Gorelenkov, N. N.
- Nuclear Fusion, Vol. 53, Issue 4
Observation of compressional Alfvén eigenmodes (CAE) in a conventional tokamak
journal, January 2006
- Heidbrink, W. W.; Fredrickson, E. D.; Gorelenkov, N. N.
- Nuclear Fusion, Vol. 46, Issue 2
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
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
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
Theory and observations of high frequency Alfv n eigenmodes in low aspect ratio plasmas
journal, March 2003
- Gorelenkov, N. N.; Fredrickson, E.; Belova, E.
- Nuclear Fusion, Vol. 43, Issue 4
Excitation of global eigenmodes of the Alfven wave in Tokamaks
journal, September 1982
- Appert, K.; Gruber, R.; Troyuon, F.
- Plasma Physics, Vol. 24, Issue 9
Kinetic theory of shear Alfvén waves
journal, January 1984
- Mahajan, S. M.
- Physics of Fluids, Vol. 27, Issue 9
Coupling of Neutral-Beam-Driven Compressional Alfvén Eigenmodes to Kinetic Alfvén Waves in NSTX Tokamak and Energy Channeling
journal, June 2015
- Belova, E. V.; Gorelenkov, N. N.; Fredrickson, E. D.
- Physical Review Letters, Vol. 115, Issue 1
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
NSTX/NSTX-U theory, modeling and analysis results
journal, June 2019
- Kaye, S. M.; Battaglia, D. J.; Baver, D.
- Nuclear Fusion, Vol. 59, Issue 11
High-frequency shear Alfvén instability driven by circulating energetic ions in NSTX
journal, December 2006
- Kolesnichenko, Ya. I.; White, R. B.; Yakovenko, Yu. V.
- Physics of Plasmas, Vol. 13, Issue 12
Alfven cyclotron instability and ion cyclotron emission
journal, December 1995
- Gorelenkov, N. N.; Cheng, C. Z.
- Nuclear Fusion, Vol. 35, Issue 12
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
Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas
journal, May 2008
- Heidbrink, W. W.
- Physics of Plasmas, Vol. 15, Issue 5
Global Alfvén eigenmode scaling and suppression: experiment and theory
journal, June 2018
- Fredrickson, E. D.; Belova, E. V.; Gorelenkov, N. N.
- Nuclear Fusion, Vol. 58, Issue 8
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
Fast-wave heating of a two-component plasma
journal, October 1975
- Stix, T. H.
- Nuclear Fusion, Vol. 15, Issue 5
Density perturbation mode structure of high frequency compressional and global Alfvén eigenmodes in the National Spherical Torus Experiment using a novel reflectometer analysis technique
journal, December 2017
- Crocker, N. A.; Kubota, S.; Peebles, W. A.
- Nuclear Fusion, Vol. 58, Issue 1
Excitation of Alfvén cyclotron instability by charged fusion products in tokamaks
journal, June 1995
- Gorelenkov, N. N.; Cheng, C. Z.
- Physics of Plasmas, Vol. 2, Issue 6
On properties of compressional Alfv n eigenmode instability driven by superAlfv nic ions
journal, September 2002
- Gorelenkov, N. N.; Cheng, C. Z.
- Nuclear Fusion, Vol. 42, Issue 10
Observation of Compressional Alfvén Modes During Neutral-Beam Heating on the National Spherical Torus Experiment
journal, September 2001
- Fredrickson, E. D.; Gorelenkov, N.; Cheng, C. Z.
- Physical Review Letters, Vol. 87, Issue 14
The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
journal, June 2004
- Pankin, Alexei; McCune, Douglas; Andre, Robert
- Computer Physics Communications, Vol. 159, Issue 3
Energetic particles in spherical tokamak plasmas
journal, March 2017
- McClements, K. G.; Fredrickson, E. D.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 5
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
Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance
journal, February 2020
- Lestz, J. B.; Gorelenkov, N. N.; Belova, E. V.
- Physics of Plasmas, Vol. 27, Issue 2
Compressional Alfvén eigenmode structure in spherical tokamaks
journal, May 2009
- Smith, H. M.; Verwichte, E.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 7
Phenomenology of compressional Alfvén eigenmodes
journal, July 2004
- Fredrickson, E. D.; Gorelenkov, N. N.; Menard, J.
- Physics of Plasmas, Vol. 11, Issue 7
Compressional Alfvén eigenmodes in rotating spherical tokamak plasmas
journal, February 2017
- Smith, H. M.; Fredrickson, E. D.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 3
New techniques for calculating heat and particle source rates due to neutral beam injection in axisymmetric tokamaks
journal, September 1981
- Goldston, R. J.; McCune, D. C.; Towner, H. H.
- Journal of Computational Physics, Vol. 43, Issue 1
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
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
Suppression of Alfvén Modes on the National Spherical Torus Experiment Upgrade with Outboard Beam Injection
journal, June 2017
- Fredrickson, E. D.; Belova, E. V.; Battaglia, D. J.
- Physical Review Letters, Vol. 118, Issue 26
Compressional Alfvén Eigenmodes on MAST
journal, October 2008
- Appel, L. C.; Fülöp, T.; Hole, M. J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 11
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
Mechanisms of the energy transfer across the magnetic field by Alfvén waves in toroidal plasmas
journal, December 2018
- Kolesnichenko, Ya. I.; Yakovenko, Yu. V.; Tyshchenko, M. H.
- Physics of Plasmas, Vol. 25, Issue 12
Channeling of the Energy and Momentum during Energetic-Ion-Driven Instabilities in Fusion Plasmas
journal, February 2010
- Kolesnichenko, Ya. I.; Yakovenko, Yu. V.; Lutsenko, V. V.
- Physical Review Letters, Vol. 104, Issue 7
Correlation between Electron Transport and Shear Alfvén Activity in the National Spherical Torus Experiment
journal, March 2009
- Stutman, D.; Delgado-Aparicio, L.; Gorelenkov, N.
- Physical Review Letters, Vol. 102, Issue 11
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
Recent progress in understanding electron thermal transport in NSTX
journal, March 2017
- Ren, Y.; Belova, E.; Gorelenkov, N.
- Nuclear Fusion, Vol. 57, Issue 7
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
Radial energy flux during destabilized Alfvén eigenmodes
journal, October 2018
- Kolesnichenko, Ya. I.; Tykhyy, A. V.
- Physics of Plasmas, Vol. 25, Issue 10
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
Compressional Alfvén eigenmode instability in NSTX
journal, August 2002
- Gorelenkov, N. N.; Cheng, C. Z.; Fredrickson, E.
- Nuclear Fusion, Vol. 42, Issue 8
Observation of Compressional Alfvén Modes During Neutral-Beam Heating on the National Spherical Torus Experiment
text, January 2001
- Bell, R.; Cheng, C. Z.; Darrow, D.
- The American Physical Society
Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance
text, January 2019
- Lestz, J. B.; Gorelenkov, N. N.; Belova, E. V.
- arXiv
Works referencing / citing this record:
Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance
journal, February 2020
- Lestz, J. B.; Gorelenkov, N. N.; Belova, E. V.
- Physics of Plasmas, Vol. 27, Issue 2
Analytic stability boundaries for compressional and global Alfvén eigenmodes driven by fast ions. II. Interaction via Landau resonance
text, January 2019
- Lestz, J. B.; Gorelenkov, N. N.; Belova, E. V.
- arXiv