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Title: Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities

Abstract

The resonance broadened quasilinear (RBQ) model for the problem of relaxing the hot ion distribution function in constant-of-motion 3D space [Gorelenkov et al., Nucl. Fusion 58, 082016 (2018)] is presented with the self-consistent evolution of multiple Alfvén eigenmode amplitudes. The RBQ model represents the generalization of the earlier published model [Berk et al., Nucl. Fusion 35, 1661 (1995)] by carefully examining the wave particle interaction in the presence of realistic Alfvén eigenmode (AE) structures and pitch angle scattering with the help of the guiding center code ORBIT. One aspect of the generalization is that the RBQ model goes beyond the local perturbative-pendulumlike approximation for the wave particle dynamics near the resonance. An iterative procedure is introduced to account for eigenstructures varying within the resonances. It is found that a radially localized mode structure implies a saturation level 2–3 times smaller than that predicted by an earlier bump-on-tail quasilinear model that employed uniform mode structures. We apply the RBQ code to a DIII-D plasma with an elevated q-profile where the beam ion profiles exhibit stiff transport properties [Collins et al., Phys. Rev. Lett. 116, 095001 (2016)]. Finally, the properties of AE driven fast ion distribution relaxation are studied for validations ofmore » the applied RBQ model in DIII-D discharges. Initial results show that the model is robust, is numerically efficient, and can predict fast ion relaxation in present and future burning plasma experiments.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]; ORCiD logo [1]; ORCiD logo [1]
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  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. General Atomics, San Diego, CA (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1557588
Alternate Identifier(s):
OSTI ID: 1545413
Grant/Contract Number:  
AC02-09CH11466; FC02-04ER54698
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 7; 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

Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., and White, R. B. Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities. United States: N. p., 2019. Web. doi:10.1063/1.5087252.
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Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., & White, R. B. Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities. United States. https://doi.org/10.1063/1.5087252
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Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., and White, R. B. Mon . "Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities". United States. https://doi.org/10.1063/1.5087252. https://www.osti.gov/servlets/purl/1557588.
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@article{osti_1557588,
title = {Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities},
author = {Gorelenkov, N. N. and Duarte, V. N. and Collins, C. S. and Podestà, M. and White, R. B.},
abstractNote = {The resonance broadened quasilinear (RBQ) model for the problem of relaxing the hot ion distribution function in constant-of-motion 3D space [Gorelenkov et al., Nucl. Fusion 58, 082016 (2018)] is presented with the self-consistent evolution of multiple Alfvén eigenmode amplitudes. The RBQ model represents the generalization of the earlier published model [Berk et al., Nucl. Fusion 35, 1661 (1995)] by carefully examining the wave particle interaction in the presence of realistic Alfvén eigenmode (AE) structures and pitch angle scattering with the help of the guiding center code ORBIT. One aspect of the generalization is that the RBQ model goes beyond the local perturbative-pendulumlike approximation for the wave particle dynamics near the resonance. An iterative procedure is introduced to account for eigenstructures varying within the resonances. It is found that a radially localized mode structure implies a saturation level 2–3 times smaller than that predicted by an earlier bump-on-tail quasilinear model that employed uniform mode structures. We apply the RBQ code to a DIII-D plasma with an elevated q-profile where the beam ion profiles exhibit stiff transport properties [Collins et al., Phys. Rev. Lett. 116, 095001 (2016)]. Finally, the properties of AE driven fast ion distribution relaxation are studied for validations of the applied RBQ model in DIII-D discharges. Initial results show that the model is robust, is numerically efficient, and can predict fast ion relaxation in present and future burning plasma experiments.},
doi = {10.1063/1.5087252},
journal = {Physics of Plasmas},
number = 7,
volume = 26,
place = {United States},
year = {2019},
month = {7}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1063/1.5087252
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Cited by: 2 works
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Figures / Tables:

Figure 1 Figure 1: (a) Gaussian mode structures with broad, 0.3ψw, and narrow, 0.05ψw, widths where ψw is the poloidal magnetic flux at the wall. Figures (b) and (c) show kinetic Poincaré plots for pendulum Hamiltonian framework (black), the first-order Taylor-expanded Hamiltonian around the central action value (blue) and the exact Hamiltonianmore » (iterative approach) that accounts for local values of the mode structure (red curves). Subfigure (b) refers to the narrow mode structure shown in (a), whereas (c) corresponds to the broad mode structure. The resonance occurs at ψ = 0.55ψw. The absolute peak amplitude of the mode is chosen arbitrarily for an illustration. The center of the island coincides with the steep variation in mode structure, thereby exacerbating the island asymmetry with respect to its elliptic O-point, represented by the dots in different colors.« less
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Works referenced in this record:

Physics of Alfvén waves and energetic particles in burning plasmas
journal, March 2016

Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks
journal, October 2018

  • White, R. B.; Gorelenkov, N. N.; Duarte, V. N.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5046655

Fast-ion energy loss during TAE avalanches in the National Spherical Torus Experiment
journal, December 2012

Beam anisotropy effect on Alfvén eigenmode stability in ITER-like plasmas
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Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks
journal, March 2019

  • White, R. B.; Duarte, V. N.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5088598

A reduced fast ion transport model for the tokamak transport code TRANSP
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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
  • DOI: 10.1063/1.4977535

Reformulation of quasi-linear theory
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Verification and validation of integrated simulation of energetic particles in fusion plasmas
journal, April 2019

Spontaneous hole–clump pair creation
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  • Physics of Plasmas, Vol. 6, Issue 8
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Prediction of the fusion alpha density profile in ITER from local marginal stability to Alfvén eigenmodes
journal, October 2014

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Resonance broadened quasi-linear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes
journal, June 2018

A Perturbation Theory for Strong Plasma Turbulence
journal, January 1966

Saturation of single toroidal number Alfvén modes
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  • Pankin, Alexei; McCune, Douglas; Andre, Robert
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Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks
journal, December 2017

  • Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 24, Issue 12
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Comparing the line broadened quasilinear model to Vlasov code
journal, March 2014

  • Ghantous, K.; Berk, H. L.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 21, Issue 3
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Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode
journal, June 2018

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

Effects of energetic particle phase space modifications by instabilities on integrated modeling
journal, July 2016

Validating predictive models for fast ion profile relaxation in burning plasmas
journal, July 2016

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    Works referencing / citing this record:

    Collisional resonance function in discrete-resonance quasilinear plasma systems
    journal, December 2019

    • Duarte, V. N.; Gorelenkov, N. N.; White, R. B.
    • Physics of Plasmas, Vol. 26, Issue 12
    • DOI: 10.1063/1.5129260

    Reduced energetic particle transport models enable comprehensive time-dependent tokamak simulations
    journal, August 2019

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      Figures / Tables found in this record:

      Figure 1 (p. 9)figure
      Figure 2 (p. 10)figure
      Figure 3 (p. 11)figure
      Figure 4 (p. 12)figure
      Figure 5 (p. 12)figure
      Figure 6 (p. 13)figure
      Figure 7 (p. 17)figure
      Figure 8 (p. 18)figure
      Figure 10 (p. 19)figure
      Figure 9 (p. 19)figure
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