Visualization of fast ion phase-space flow in plasmas well-below, near and well-above Alfvén eigenmode stability threshold in tokamak
Abstract
Abstract Transport of fast ions along certain local phase space paths, referred to as fast ion phase-space flow, has been systematically measured by an imaging neutral particle analyzer (INPA) in three plasma regimes, which are well-below, near, and well-above the Alfvén eigenmode stability threshold (Du et al 2021 Phys. Rev. Lett. 127 235002). (1) In plasmas well-below the Alfvén eignenmodes (AE) stability threshold, fast ions are well-confined on passing particle orbits without noticeable transport over the phase space. The observed INPA images agree well with the synthetic INPA images, using the fast ion distribution predicted by neoclassical theory. (2) In plasmas near the AE stability threshold, INPA images in the presence of AE activity moderately deviate from those without AE activity. The image difference can be well interpreted by AE-driven, phase-space fast ion flow. Paths of this flow over the velocity space (or streamlines) are reconstructed by the intersection lines of curved E ʹ and µ surfaces, referred to as E ʹ and µ line (where ; E , P ζ and µ are the energy, canonical toroidal momentum and magnetic moment of ions; ω and n are the angular frequency and toroidal mode number of AEs, respectively). Resonant fast ions move radially inward by gaining energy and move radially outward by losing energy and the trajectory well aligns with the E ʹ and µ lines that pass through the mode resonances near the injection energy of neutral beams. (3) In plasmas well-above the AE stability threshold, fast ion phase-space dynamics shows additional features. Fast ions are transported out of the birth positions so promptly along the streamlines that the slowing-down process from the injection energy is not observable, exhibiting strong critical gradient behavior at local phase space. As a result, the increase of electron temperature is very small, in spite of an increase of beam power by . It should be emphasized that the directions of phase-space transport, induced by AEs with different frequencies, structures and mode numbers, do not largely differ.
- Authors:
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1960338
- Alternate Identifier(s):
- OSTI ID: 1958684; OSTI ID: 1960433
- Report Number(s):
- DOE-GA-54698
Journal ID: ISSN 0029-5515
- Grant/Contract Number:
- AC02-05CH11231; 5 AC05-00OR22725; FC02-04ER54698; SC0020337; AC05-00OR22725; AC02-09CH11466; SC0015878
- Resource Type:
- Published Article
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Name: Nuclear Fusion Journal Volume: 63 Journal Issue: 4; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Publishing
- Country of Publication:
- IAEA
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; wave particle interaction; energetic particles; tokamak
Citation Formats
Du, X. D., Heidbrink, W. W., Van Zeeland, M. A., Gonzalez-Martin, J., Austin, M. E., Yan, Z., and McKee, G. R. Visualization of fast ion phase-space flow in plasmas well-below, near and well-above Alfvén eigenmode stability threshold in tokamak. IAEA: N. p., 2023.
Web. doi:10.1088/1741-4326/acbec5.
Du, X. D., Heidbrink, W. W., Van Zeeland, M. A., Gonzalez-Martin, J., Austin, M. E., Yan, Z., & McKee, G. R. Visualization of fast ion phase-space flow in plasmas well-below, near and well-above Alfvén eigenmode stability threshold in tokamak. IAEA. https://doi.org/10.1088/1741-4326/acbec5
Du, X. D., Heidbrink, W. W., Van Zeeland, M. A., Gonzalez-Martin, J., Austin, M. E., Yan, Z., and McKee, G. R. Wed .
"Visualization of fast ion phase-space flow in plasmas well-below, near and well-above Alfvén eigenmode stability threshold in tokamak". IAEA. https://doi.org/10.1088/1741-4326/acbec5.
@article{osti_1960338,
title = {Visualization of fast ion phase-space flow in plasmas well-below, near and well-above Alfvén eigenmode stability threshold in tokamak},
author = {Du, X. D. and Heidbrink, W. W. and Van Zeeland, M. A. and Gonzalez-Martin, J. and Austin, M. E. and Yan, Z. and McKee, G. R.},
abstractNote = {Abstract Transport of fast ions along certain local phase space paths, referred to as fast ion phase-space flow, has been systematically measured by an imaging neutral particle analyzer (INPA) in three plasma regimes, which are well-below, near, and well-above the Alfvén eigenmode stability threshold (Du et al 2021 Phys. Rev. Lett. 127 235002). (1) In plasmas well-below the Alfvén eignenmodes (AE) stability threshold, fast ions are well-confined on passing particle orbits without noticeable transport over the phase space. The observed INPA images agree well with the synthetic INPA images, using the fast ion distribution predicted by neoclassical theory. (2) In plasmas near the AE stability threshold, INPA images in the presence of AE activity moderately deviate from those without AE activity. The image difference can be well interpreted by AE-driven, phase-space fast ion flow. Paths of this flow over the velocity space (or streamlines) are reconstructed by the intersection lines of curved E ʹ and µ surfaces, referred to as E ʹ and µ line (where E ′ ≡ E − ( ω / n ) P ζ ; E , P ζ and µ are the energy, canonical toroidal momentum and magnetic moment of ions; ω and n are the angular frequency and toroidal mode number of AEs, respectively). Resonant fast ions move radially inward by gaining energy and move radially outward by losing energy and the trajectory well aligns with the E ʹ and µ lines that pass through the mode resonances near the injection energy of neutral beams. (3) In plasmas well-above the AE stability threshold, fast ion phase-space dynamics shows additional features. Fast ions are transported out of the birth positions so promptly along the streamlines that the slowing-down process from the injection energy is not observable, exhibiting strong critical gradient behavior at local phase space. As a result, the increase of electron temperature is very small, in spite of an increase of beam power by ∼ 45 % . It should be emphasized that the directions of phase-space transport, induced by AEs with different frequencies, structures and mode numbers, do not largely differ.},
doi = {10.1088/1741-4326/acbec5},
journal = {Nuclear Fusion},
number = 4,
volume = 63,
place = {IAEA},
year = {Wed Mar 08 00:00:00 EST 2023},
month = {Wed Mar 08 00:00:00 EST 2023}
}
https://doi.org/10.1088/1741-4326/acbec5
Works referenced in this record:
Toroidal Alfvén eigenmode‐induced ripple trapping
journal, August 1995
- White, R. B.; Fredrickson, E.; Darrow, D.
- Physics of Plasmas, Vol. 2, Issue 8
Observation of clump structure in transported particle orbit using an upgraded neutral particle analyzer during TAE burst in LHD
journal, August 2020
- Kamio, S.; Fujiwara, Y.; Nagaoka, K.
- Nuclear Fusion, Vol. 60, Issue 11
Comprehensive magnetohydrodynamic hybrid simulations of fast ion driven instabilities in a Large Helical Device experiment
journal, August 2017
- Todo, Y.; Seki, R.; Spong, D. A.
- Physics of Plasmas, Vol. 24, Issue 8
Multiscale Chirping Modes Driven by Thermal Ions in a Plasma with Reactor-Relevant Ion Temperature
journal, July 2021
- Du, X. D.; Hong, R. J.; Heidbrink, W. W.
- Physical Review Letters, Vol. 127, Issue 2
Linear and nonlinear particle-magnetohydrodynamic simulations of the toroidal Alfvén eigenmode
journal, May 1998
- Todo, Y.; Sato, T.
- Physics of Plasmas, Vol. 5, Issue 5
Theoretical studies of low-frequency Alfvén modes in tokamak plasmas
journal, February 2022
- Ma, Ruirui; Chen, Liu; Zonca, Fulvio
- Plasma Physics and Controlled Fusion, Vol. 64, Issue 3
Resistive interchange mode destabilized by helically trapped energetic ions and its effects on energetic ions and bulk plasma in a helical plasma
journal, November 2015
- Du, X. D.; Toi, K.; Ohdachi, S.
- Nuclear Fusion, Vol. 56, Issue 1
Measurements, modelling and electron cyclotron heating modification of Alfvén eigenmode activity in DIII-D
journal, April 2009
- Van Zeeland, M. A.; Heidbrink, W. W.; Nazikian, R.
- Nuclear Fusion, Vol. 49, Issue 6
Experimental observations of enhanced radial transport of energetic particles with Alfvén eigenmode on the LHD
journal, September 2006
- Osakabe, M.; Yamamoto, S.; Toi, K.
- Nuclear Fusion, Vol. 46, Issue 10
Interpretation of fast-ion signals during beam modulation experiments
journal, July 2016
- Heidbrink, W. W.; Collins, C. S.; Stagner, L.
- Nuclear Fusion, Vol. 56, Issue 11
Excitation of helically-trapped-energetic-ion driven resistive interchange modes with intense deuterium beam injection and enhanced effect on beam ions/bulk plasmas of LHD
journal, June 2018
- Bando, T.; Ohdachi, S.; Isobe, M.
- Nuclear Fusion, Vol. 58, Issue 8
Dynamic neutral beam current and voltage control to improve beam efficacy in tokamaks
journal, May 2018
- Austin, M. E.; Bardoczi, L.; Collins, C. S.
- Physics of Plasmas, Vol. 25, Issue 5
Excitation of Alfvén eigenmodes by low energy beam ions in the DIII-D and JET tokamaks
journal, May 2008
- Nazikian, R.; Gorelenkov, N. N.; Alper, B.
- Physics of Plasmas, Vol. 15, Issue 5
Energetic-ion-driven global instabilities in stellarator/helical plasmas and comparison with tokamak plasmas
journal, January 2011
- Toi, K.; Ogawa, K.; Isobe, M.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 2
Beam modulation and bump-on-tail effects on Alfvén eigenmode stability in DIII-D
journal, May 2021
- Van Zeeland, M. A.; Bardoczi, L.; Gonzalez-Martin, J.
- Nuclear Fusion, Vol. 61, Issue 6
Validation of the imaging neutral particle analyzer in nearly MHD quiescent plasmas using injected beam ions on DIII-D
journal, August 2020
- Lin, D. J.; Du, X. D.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 60, Issue 11
Modelling the Alfvén eigenmode induced fast-ion flow measured by an imaging neutral particle analyzer
journal, September 2022
- Gonzalez-Martin, J.; Du, X. D.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 62, Issue 11
Anomalous Flattening of the Fast-Ion Profile during Alfvén-Eigenmode Activity
journal, December 2007
- Heidbrink, W. W.; Gorelenkov, N. N.; Luo, Y.
- Physical Review Letters, Vol. 99, Issue 24
‘BAAE’ instabilities observed without fast ion drive
journal, December 2020
- Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E.
- Nuclear Fusion, Vol. 61, Issue 1
Nonlinear magnetohydrodynamic effects on Alfvén eigenmode evolution and zonal flow generation
journal, July 2010
- Todo, Y.; Berk, H. L.; Breizman, B. N.
- Nuclear Fusion, Vol. 50, Issue 8
Visualization of Fast Ion Phase-Space Flow Driven by Alfvén Instabilities
journal, December 2021
- Du, X. D.; Van Zeeland, M. A.; Heidbrink, W. W.
- Physical Review Letters, Vol. 127, Issue 23
Loss of energetic beam ions during TAE instabilities
journal, May 1993
- Duong, H. H.; Heidbrink, W. W.; Strait, E. J.
- Nuclear Fusion, Vol. 33, Issue 5
Chapter 5: Physics of energetic ions
journal, June 2007
- Fasoli, A.; Gormenzano, C.; Berk, H. L.
- Nuclear Fusion, Vol. 47, Issue 6
Gyrokinetic simulation of low-frequency Alfvénic modes in DIII-D tokamak
journal, April 2021
- Choi, G. J.; Liu, P.; Wei, X. S.
- Nuclear Fusion, Vol. 61, Issue 6
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
Radial Localization of Toroidicity-Induced Alfvén Eigenmodes
journal, October 2013
- Wang, Zhixuan; Lin, Zhihong; Holod, Ihor
- Physical Review Letters, Vol. 111, Issue 14
Development and verification of a novel scintillator-based, imaging neutral particle analyzer in DIII-D tokamak
journal, June 2018
- Du, X. D.; Van Zeeland, M. A.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 58, Issue 8
Electron cyclotron emission radiometer upgrade on the DIII-D tokamak
journal, March 2003
- Austin, M. E.; Lohr, J.
- Review of Scientific Instruments, Vol. 74, Issue 3
Measurements of fast-ion acceleration at cyclotron harmonics using Balmer-alpha spectroscopy
journal, August 2007
- Heidbrink, W. W.; Luo, Y.; Burrell, K. H.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 9
ASCOT: Solving the kinetic equation of minority particle species in tokamak plasmas
journal, April 2014
- Hirvijoki, E.; Asunta, O.; Koskela, T.
- Computer Physics Communications, Vol. 185, Issue 4
Fast-ion transport by Alfvén eigenmodes above a critical gradient threshold
journal, May 2017
- Heidbrink, W. W.; Collins, C. S.; Podestà, M.
- Physics of Plasmas, Vol. 24, Issue 5
Imaging Neutral Particle Analyzer (INPA) measurements of confined fast ions in DIII-D
journal, September 2019
- Van Zeeland, M. A.; Du, X. D.; Heidbrink, W. W.
- Journal of Instrumentation, Vol. 14, Issue 09
Self-organized criticality and the dynamics of near-marginal turbulent transport in magnetically confined fusion plasmas
journal, November 2015
- Sanchez, R.; Newman, D. E.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 12
Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model
journal, July 2017
- Sheng, He; Waltz, R. E.; Staebler, G. M.
- Physics of Plasmas, Vol. 24, Issue 7
Suppression of Trapped Energetic Ions Driven Resistive Interchange Modes with Electron Cyclotron Heating in a Helical Plasma
journal, March 2017
- Du, X. D.; Toi, K.; Ohdachi, S.
- Physical Review Letters, Vol. 118, Issue 12
Alpha‐particle losses from toroidicity‐induced Alfvén eigenmodes. Part I: Phase‐space topology of energetic particle orbits in tokamak plasma
journal, June 1992
- Hsu, C. T.; Sigmar, D. J.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 6
Energetic particle physics in fusion research in preparation for burning plasma experiments
journal, November 2014
- Gorelenkov, N. N.; Pinches, S. D.; Toi, K.
- Nuclear Fusion, Vol. 54, Issue 12
Theory of current drive in plasmas
journal, January 1987
- Fisch, Nathaniel J.
- Reviews of Modern Physics, Vol. 59, Issue 1
The behaviour of fast ions in tokamak experiments
journal, April 1994
- Heidbrink, W. W.; Sadler, G. J.
- Nuclear Fusion, Vol. 34, Issue 4
Resolving the fast ion distribution from imaging neutral particle analyzer measurements
journal, August 2020
- Du, X. D.; Van Zeeland, M. A.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 60, Issue 11
Major minority: energetic particles in fusion plasmas
journal, March 2011
- Breizman, B. N.; Sharapov, S. E.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 5
Orbit tomography of energetic particle distribution functions
journal, January 2022
- Stagner, L.; Heidbrink, W. W.; Salewski, M.
- Nuclear Fusion, Vol. 62, Issue 2
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
Resistive Interchange Modes Destabilized by Helically Trapped Energetic Ions in a Helical Plasma
journal, April 2015
- Du, X. D.; Toi, K.; Osakabe, M.
- Physical Review Letters, Vol. 114, Issue 15
Radial Structure of Alfvén Eigenmodes in the DIII-D Tokamak through Electron-Cyclotron-Emission Measurements
journal, September 2006
- Van Zeeland, M. A.; Kramer, G. J.; Austin, M. E.
- Physical Review Letters, Vol. 97, Issue 13
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
Alfvén eigenmode observations on DIII-D via two-colour CO 2 interferometry
journal, August 2005
- Zeeland, M. A. Van; Kramer, G. J.; Nazikian, R.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 9
Perturbative studies of transport phenomena in fusion devices
journal, November 2010
- Ryter, F.; Dux, R.; Mantica, P.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 12
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport
journal, February 2016
- Collins, C. S.; Heidbrink, W. W.; Austin, M. E.
- Physical Review Letters, Vol. 116, Issue 9
Realization of high T i plasmas and confinement characteristics of ITB plasmas in the LHD deuterium experiments
journal, August 2018
- Takahashi, H.; Nagaoka, K.; Mukai, K.
- Nuclear Fusion, Vol. 58, Issue 10
A Code that Simulates Fast-Ion D α and Neutral Particle Measurements
journal, September 2011
- Heidbrink, W. W.; Liu, D.; Luo, Y.
- Communications in Computational Physics, Vol. 10, Issue 3
Energetic particle transport and loss induced by helically-trapped energetic-ion-driven resistive interchange modes in the Large Helical Device
journal, September 2020
- Ogawa, K.; Isobe, M.; Sugiyama, S.
- Nuclear Fusion, Vol. 60, Issue 11
Introduction to the interaction between energetic particles and Alfven eigenmodes in toroidal plasmas
journal, December 2018
- Todo, Y.
- Reviews of Modern Plasma Physics, Vol. 3, Issue 1
Perturbative transport studies in fusion plasmas
journal, August 1995
- Cardozo, N. J. Lopes
- Plasma Physics and Controlled Fusion, Vol. 37, Issue 8