DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on Sat Sep 07 00:00:00 EDT 2024

Title: Diffusion–convection model of runaway electrons due to large magnetohydrodynamic perturbations in post-thermal quench plasmas

Abstract

Systematic test particle tracing simulations for runaway electrons (REs) are performed for six post-thermal quench equilibria from DIII-D and ITER, where large scale, kink-like n = 1 (n is the toroidal mode number) magnetohydrodynamic (MHD) instabilities are found. The modeled particle guiding center orbits allow extraction of the effective diffusion–convection coefficients of REs in the presence of large three-dimensional (3D) perturbations up to 10% of the equilibrium toroidal field. With a fixed spatial distribution of the field perturbation, the RE transport coefficients along the plasma radial coordinate track reasonably well with the surface-averaged perturbation level. A substantial variation in the value of the transport coefficients—by three orders of magnitude in most cases, however, occurs with varying launching location of REs along the plasma radius. Large 3D perturbations almost always lead to comparable diffusion and convection processes, meaning that diffusion alone is insufficient to describe the particle motion. At lower (but still high) level of perturbation, the RE convection is found to be dominant over diffusion. A similar observation is made when the perturbation is too strong. In the presence of large perturbation, the dependence of the RE transport on the particle energy is sensitive to the spatial distribution of themore » perturbation. Based on numerically obtained RE transport coefficients, an analytic fitting model is proposed to quantify the particle diffusion and convection processes due to large MHD events in post-thermal quench plasmas. The model is shown to reasonably well reproduce the direct test particle tracing results for the RE loss fraction and can, thus, be useful for incorporating into other kinetic RE codes in order to simulate the RE beam evolution in the presence of large 3D perturbations.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [2];  [5];  [5]
  1. General Atomics, San Diego, CA (United States)
  2. Max-Planck-Institut fur Plasmaphysik, Greifswald (Germany)
  3. University of California, San Diego, La Jolla, CA (United States)
  4. Columbia University, New York, NY (United States)
  5. National Research Center Kurchatov Institute, Moscow (Russia)
Publication Date:
Research Org.:
General Atomics, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
2228283
Grant/Contract Number:  
SC0016452; FC02-04ER54698; FG02-95ER54309
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 30; 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; Relativistic corrections; Magnetohydrodynamics; Plasma instabilities; Runaway electrons; Tokamaks

Citation Formats

Liu, Yueqiang, Aleynikova, K., Hollmann, E. M., Paz-Soldan, C., Aleynikov, P., Khayrutdinov, R., and Lukash, V. Diffusion–convection model of runaway electrons due to large magnetohydrodynamic perturbations in post-thermal quench plasmas. United States: N. p., 2023. Web. doi:10.1063/5.0159923.
Liu, Yueqiang, Aleynikova, K., Hollmann, E. M., Paz-Soldan, C., Aleynikov, P., Khayrutdinov, R., & Lukash, V. Diffusion–convection model of runaway electrons due to large magnetohydrodynamic perturbations in post-thermal quench plasmas. United States. https://doi.org/10.1063/5.0159923
Liu, Yueqiang, Aleynikova, K., Hollmann, E. M., Paz-Soldan, C., Aleynikov, P., Khayrutdinov, R., and Lukash, V. Thu . "Diffusion–convection model of runaway electrons due to large magnetohydrodynamic perturbations in post-thermal quench plasmas". United States. https://doi.org/10.1063/5.0159923.
@article{osti_2228283,
title = {Diffusion–convection model of runaway electrons due to large magnetohydrodynamic perturbations in post-thermal quench plasmas},
author = {Liu, Yueqiang and Aleynikova, K. and Hollmann, E. M. and Paz-Soldan, C. and Aleynikov, P. and Khayrutdinov, R. and Lukash, V.},
abstractNote = {Systematic test particle tracing simulations for runaway electrons (REs) are performed for six post-thermal quench equilibria from DIII-D and ITER, where large scale, kink-like n = 1 (n is the toroidal mode number) magnetohydrodynamic (MHD) instabilities are found. The modeled particle guiding center orbits allow extraction of the effective diffusion–convection coefficients of REs in the presence of large three-dimensional (3D) perturbations up to 10% of the equilibrium toroidal field. With a fixed spatial distribution of the field perturbation, the RE transport coefficients along the plasma radial coordinate track reasonably well with the surface-averaged perturbation level. A substantial variation in the value of the transport coefficients—by three orders of magnitude in most cases, however, occurs with varying launching location of REs along the plasma radius. Large 3D perturbations almost always lead to comparable diffusion and convection processes, meaning that diffusion alone is insufficient to describe the particle motion. At lower (but still high) level of perturbation, the RE convection is found to be dominant over diffusion. A similar observation is made when the perturbation is too strong. In the presence of large perturbation, the dependence of the RE transport on the particle energy is sensitive to the spatial distribution of the perturbation. Based on numerically obtained RE transport coefficients, an analytic fitting model is proposed to quantify the particle diffusion and convection processes due to large MHD events in post-thermal quench plasmas. The model is shown to reasonably well reproduce the direct test particle tracing results for the RE loss fraction and can, thus, be useful for incorporating into other kinetic RE codes in order to simulate the RE beam evolution in the presence of large 3D perturbations.},
doi = {10.1063/5.0159923},
journal = {Physics of Plasmas},
number = 9,
volume = 30,
place = {United States},
year = {Thu Sep 07 00:00:00 EDT 2023},
month = {Thu Sep 07 00:00:00 EDT 2023}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 7, 2024
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Interaction between runaway electrons and internal kink in a post-disruption plasma
journal, October 2021


A novel path to runaway electron mitigation via deuterium injection and current-driven MHD instability
journal, October 2021


Modeling the complete prevention of disruption-generated runaway electron beam formation with a passive 3D coil in SPARC
journal, November 2021


Simulation of MHD instabilities with fluid runaway electron model in M3D-C1
journal, May 2020


An advection–diffusion model for cross-field runaway electron transport in perturbed magnetic fields
journal, November 2016


Transport of energetic ions by low‐ n magnetic perturbations
journal, May 1993

  • Mynick, H. E.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 5
  • DOI: 10.1063/1.860886

Self-consistent simulation of resistive kink instabilities with runaway electrons
journal, November 2021

  • Liu, Chang; Zhao, Chen; Jardin, Stephen C.
  • Plasma Physics and Controlled Fusion, Vol. 63, Issue 12
  • DOI: 10.1088/1361-6587/ac2af8

DREAM: A fluid-kinetic framework for tokamak disruption runaway electron simulations
journal, November 2021


Demonstration of Safe Termination of Megaampere Relativistic Electron Beams in Tokamaks
journal, April 2021


Simulation of runaway electron production with CQL3D coupled to NIMROD
journal, July 2022


Numerical simulation of runaway electrons: 3-D effects on synchrotron radiation and impurity-based runaway current dissipation
journal, May 2018

  • del-Castillo-Negrete, D.; Carbajal, L.; Spong, D.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5018747

Runaway electron seed formation at reactor-relevant temperature
journal, April 2020


Numerical calculation of the runaway electron distribution function and associated synchrotron emission
journal, March 2014

  • Landreman, Matt; Stahl, Adam; Fülöp, Tünde
  • Computer Physics Communications, Vol. 185, Issue 3
  • DOI: 10.1016/j.cpc.2013.12.004

Computational study of runaway electrons in MST tokamak discharges with applied resonant magnetic perturbation
journal, May 2022

  • Cornille, B. S.; Beidler, M. T.; Munaretto, S.
  • Physics of Plasmas, Vol. 29, Issue 5
  • DOI: 10.1063/5.0087314

Structure and overstability of resistive modes with runaway electrons
journal, September 2020

  • Liu, Chang; Zhao, Chen; Jardin, Stephen C.
  • Physics of Plasmas, Vol. 27, Issue 9
  • DOI: 10.1063/5.0018559

Runaway electron drift orbits in magnetostatic perturbed fields
journal, March 2011


Spatiotemporal Evolution of Runaway Electron Momentum Distributions in Tokamaks
journal, June 2017


Runaway electron mitigation by 3D fields in the ASDEX-Upgrade experiment
journal, November 2017


Measurement of runaway electron energy distribution function during high-Z gas injection into runaway electron plateaus in DIII-Da)
journal, May 2015

  • Hollmann, E. M.; Parks, P. B.; Commaux, N.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921149

Effect of drifts on the diffusion of runaway electrons in tokamak stochastic magnetic fields
journal, January 1992

  • Myra, J. R.; Catto, Peter J.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 1
  • DOI: 10.1063/1.860431

Kink instabilities of the post-disruption runaway electron beam at low safety factor
journal, March 2019

  • Paz-Soldan, C.; Eidietis, N. W.; Liu, Y. Q.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 5
  • DOI: 10.1088/1361-6587/aafd15

Runaway electron transport in stochastic toroidal magnetic fields
journal, March 2020

  • Carbajal, L.; del-Castillo-Negrete, D.; Martinell, J. J.
  • Physics of Plasmas, Vol. 27, Issue 3
  • DOI: 10.1063/1.5135588

Runaway electron transport via tokamak microturbulence
journal, October 2009


Theory of runaway electrons in ITER: Equations, important parameters, and implications for mitigation
journal, March 2015


Magnetohydrodynamic simulations of runaway electron beam termination in JET
journal, January 2021

  • Bandaru, V.; Hoelzl, M.; Reux, C.
  • Plasma Physics and Controlled Fusion, Vol. 63, Issue 3
  • DOI: 10.1088/1361-6587/abdbcf

Effect of applied toroidal electric field on the growth/decay of plateau-phase runaway electron currents in DIII-D
journal, September 2011


MARS-F modeling of post-disruption runaway beam loss by magnetohydrodynamic instabilities in DIII-D
journal, October 2019


Phase-space dynamics of runaway electrons in magnetic fields
journal, February 2017

  • Guo, Zehua; McDevitt, Christopher J.; Tang, Xian-Zhu
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 4
  • DOI: 10.1088/1361-6587/aa5952

Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces
journal, January 1978


Reduced fluid simulation of runaway electron generation in the presence of resistive kink modes
journal, May 2017


Runaway electron production in DIII-D killer pellet experiments, calculated with the CQL3D/KPRAD model
journal, November 2000

  • Harvey, R. W.; Chan, V. S.; Chiu, S. C.
  • Physics of Plasmas, Vol. 7, Issue 11
  • DOI: 10.1063/1.1312816

First Direct Observation of Runaway-Electron-Driven Whistler Waves in Tokamaks
journal, April 2018


Theory for avalanche of runaway electrons in tokamaks
journal, October 1997


The role of 3D fields on runaway electron mitigation in ASDEX Upgrade: a numerical test particle approach
journal, May 2021


Quasilinear diffusion in stochastic magnetic fields: Reconciliation of drift‐orbit modification calculations
journal, April 1993

  • Myra, J. R.; Catto, Peter J.; Mynick, H. E.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 4
  • DOI: 10.1063/1.860906

Toroidal modeling of runaway electron loss due to 3D fields in ITER
journal, April 2022


Runaway beam studies during disruptions at JET-ILW
journal, August 2015


Effect of runaway electrons on tearing mode stability: with or without favorable curvature stabilization
journal, August 2021


Runaway electron deconfinement in SPARC and DIII-D by a passive 3D coil
journal, August 2022


Toroidal modeling of runaway electron loss due to 3-D fields in DIII-D and COMPASS
journal, October 2020

  • Liu, Yueqiang; Paz-Soldan, C.; Macusova, E.
  • Physics of Plasmas, Vol. 27, Issue 10
  • DOI: 10.1063/5.0021154

Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model
journal, September 2000

  • Liu, Y. Q.; Bondeson, A.; Fransson, C. M.
  • Physics of Plasmas, Vol. 7, Issue 9
  • DOI: 10.1063/1.1287744

Runaway electron experiments at COMPASS in support of the EUROfusion ITER physics research
journal, November 2018

  • Mlynar, J.; Ficker, O.; Macusova, E.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aae04a

The external kink mode in diverted tokamaks
journal, June 2016


Experimental Observation of a Magnetic-Turbulence Threshold for Runaway-Electron Generation in the TEXTOR Tokamak
journal, June 2013


Physics of runaway electrons in tokamaks
journal, June 2019

  • Breizman, Boris N.; Aleynikov, Pavel; Hollmann, Eric M.
  • Nuclear Fusion, Vol. 59, Issue 8
  • DOI: 10.1088/1741-4326/ab1822