Toroidal effect on runaway vortex and avalanche growth rate
Abstract
The momentum-space dynamics of runaway electrons in a slab geometry, in terms of both the geometry and topological transition of the runaway vortex when synchrotron radiative damping is taken into account, has recently been shown to play a crucial role in runaway mitigation and avoidance. In a tokamak geometry, magnetic trapping arises from parallel motion along the magnetic field that scales as 1/R in strength with R the major radius. Since the transit time for a runaway electron moving along the field is of order 10−8 s while the collisional time is of ∼0.01 s in ITER-like plasmas, a bounce-averaged formulation can drastically reduce computational cost. Here, the Los Alamos Plasma Simulation – Relativistic Fokker-Planck Solver code's implementation of a bounce-averaged relativistic Fokker-Planck model, along with the essential physics of synchrotron radiation damping and knock-on collisions, is described. It is found that the magnetic trapping can reduce the volume of the runaway vortex as the momentum-space fluxes are strongly modified inside the trapped-region. As a result, the avalanche growth rate is reduced at off-axis locations. In addition to benchmarking with previous calculations that did not take into account radiation damping, we also clarify how synchrotron radiation damping modifies the avalanche growth ratemore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC). Fusion Energy Sciences (FES) (SC-24); USDOE
- OSTI Identifier:
- 1558965
- Alternate Identifier(s):
- OSTI ID: 1549543
- Report Number(s):
- LA-UR-18-28552
Journal ID: ISSN 1070-664X; TRN: US2000264
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 8; 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; Magnetic Fusion Energy
Citation Formats
Guo, Zehua, Mcdevitt, Chris, and Tang, Xianzhu. Toroidal effect on runaway vortex and avalanche growth rate. United States: N. p., 2019.
Web. doi:10.1063/1.5055874.
Guo, Zehua, Mcdevitt, Chris, & Tang, Xianzhu. Toroidal effect on runaway vortex and avalanche growth rate. United States. https://doi.org/10.1063/1.5055874
Guo, Zehua, Mcdevitt, Chris, and Tang, Xianzhu. Fri .
"Toroidal effect on runaway vortex and avalanche growth rate". United States. https://doi.org/10.1063/1.5055874. https://www.osti.gov/servlets/purl/1558965.
@article{osti_1558965,
title = {Toroidal effect on runaway vortex and avalanche growth rate},
author = {Guo, Zehua and Mcdevitt, Chris and Tang, Xianzhu},
abstractNote = {The momentum-space dynamics of runaway electrons in a slab geometry, in terms of both the geometry and topological transition of the runaway vortex when synchrotron radiative damping is taken into account, has recently been shown to play a crucial role in runaway mitigation and avoidance. In a tokamak geometry, magnetic trapping arises from parallel motion along the magnetic field that scales as 1/R in strength with R the major radius. Since the transit time for a runaway electron moving along the field is of order 10−8 s while the collisional time is of ∼0.01 s in ITER-like plasmas, a bounce-averaged formulation can drastically reduce computational cost. Here, the Los Alamos Plasma Simulation – Relativistic Fokker-Planck Solver code's implementation of a bounce-averaged relativistic Fokker-Planck model, along with the essential physics of synchrotron radiation damping and knock-on collisions, is described. It is found that the magnetic trapping can reduce the volume of the runaway vortex as the momentum-space fluxes are strongly modified inside the trapped-region. As a result, the avalanche growth rate is reduced at off-axis locations. In addition to benchmarking with previous calculations that did not take into account radiation damping, we also clarify how synchrotron radiation damping modifies the avalanche growth rate in a tokamak.},
doi = {10.1063/1.5055874},
journal = {Physics of Plasmas},
number = 8,
volume = 26,
place = {United States},
year = {Fri Aug 09 00:00:00 EDT 2019},
month = {Fri Aug 09 00:00:00 EDT 2019}
}
Figures / Tables:
Works referenced in this record:
Simulation of runaway electrons during tokamak disruptions
journal, August 2003
- Eriksson, L. -G.; Helander, P.
- Computer Physics Communications, Vol. 154, Issue 3
Effective Critical Electric Field for Runaway-Electron Generation
journal, March 2015
- Stahl, A.; Hirvijoki, E.; Decker, J.
- Physical Review Letters, Vol. 114, Issue 11
Magnetic energy flows during the current quench and termination of disruptions with runaway current plateau formation in JET and implications for ITER
journal, May 2011
- Loarte, A.; Riccardo, V.; Martin-Solís, J. R.
- Nuclear Fusion, Vol. 51, Issue 7
Numerical characterization of bump formation in the runaway electron tail
journal, January 2016
- Decker, J.; Hirvijoki, E.; Embreus, O.
- Plasma Physics and Controlled Fusion, Vol. 58, Issue 2
Relation of the runaway avalanche threshold to momentum space topology
journal, January 2018
- McDevitt, Christopher J.; Guo, Zehua; Tang, Xian-Zhu
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 2
Fokker-Planck simulations mylb of knock-on electron runaway avalanche and bursts in tokamaks
journal, November 1998
- Chiu, S. C.; Rosenbluth, M. N.; Harvey, R. W.
- Nuclear Fusion, Vol. 38, Issue 11
Relativistic limitations on runaway electrons
journal, June 1975
- Connor, J. W.; Hastie, R. J.
- Nuclear Fusion, Vol. 15, Issue 3
Runaway electron beam generation and mitigation during disruptions at JET-ILW
journal, August 2015
- Reux, C.; Plyusnin, V.; Alper, B.
- Nuclear Fusion, Vol. 55, Issue 9
On the relativistic large-angle electron collision operator for runaway avalanches in plasmas
journal, January 2018
- Embréus, O.; Stahl, A.; Fülöp, T.
- Journal of Plasma Physics, Vol. 84, Issue 1
Runaway Electrons in a Plasma
journal, September 1973
- Kulsrud, Russell M.; Sun, Yung-Chiun; Winsor, Niels K.
- Physical Review Letters, Vol. 31, Issue 11
Effect of Partially Screened Nuclei on Fast-Electron Dynamics
journal, June 2017
- Hesslow, L.; Embréus, O.; Stahl, A.
- Physical Review Letters, Vol. 118, Issue 25
Spatial transport of runaway electrons in axisymmetric tokamak plasmas
journal, January 2019
- McDevitt, Christopher J.; Guo, Zehua; Tang, Xian-Zhu
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 2
Models of primary runaway electron distribution in the runaway vortex regime
journal, November 2017
- Guo, Zehua; Tang, Xian-Zhu; McDevitt, Christopher J.
- Physics of Plasmas, Vol. 24, Issue 11
Chapter 3: MHD stability, operational limits and disruptions
journal, December 1999
- Mhd, ITER Physics Expert Group on Disrup; Editors, ITER Physics Basis
- Nuclear Fusion, Vol. 39, Issue 12
Resolving runaway electron distributions in space, time, and energy
journal, May 2018
- Paz-Soldan, C.; Cooper, C. M.; Aleynikov, P.
- Physics of Plasmas, Vol. 25, Issue 5
Effects of particle trapping on the slowing-down of fast ions in a toroidal plasma
journal, July 1976
- Cordey, J. G.
- Nuclear Fusion, Vol. 16, Issue 3
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
Kinetic modelling of runaway electron avalanches in tokamak plasmas
journal, July 2015
- Nilsson, E.; Decker, J.; Peysson, Y.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 9
Runaway electron dynamics in tokamak plasmas with high impurity content
journal, September 2015
- Martín-Solís, J. R.; Loarte, A.; Lehnen, M.
- Physics of Plasmas, Vol. 22, Issue 9
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
Theory for avalanche of runaway electrons in tokamaks
journal, October 1997
- Rosenbluth, M. N.; Putvinski, S. V.
- Nuclear Fusion, Vol. 37, Issue 10
Relativistic bounce-averaged quasilinear diffusion equation for low-frequency electromagnetic fluctuations
journal, November 2001
- Brizard, Alain J.; Chan, Anthony A.
- Physics of Plasmas, Vol. 8, Issue 11
Theory of Two Threshold Fields for Relativistic Runaway Electrons
journal, April 2015
- Aleynikov, Pavel; Breizman, Boris N.
- Physical Review Letters, Vol. 114, Issue 15
The effects of kinetic instabilities on the electron cyclotron emission from runaway electrons
journal, July 2018
- Liu, Chang; Shi, Lei; Hirvijoki, Eero
- Nuclear Fusion, Vol. 58, Issue 9
Control of runaway electron energy using externally injected whistler waves
journal, March 2018
- Guo, Zehua; McDevitt, Christopher J.; Tang, Xian-Zhu
- Physics of Plasmas, Vol. 25, Issue 3
Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007
- Hender, T. C.; Wesley, J. C.; Bialek, J.
- Nuclear Fusion, Vol. 47, Issue 6
Avalanche mechanism for runaway electron amplification in a tokamak plasma
journal, April 2019
- McDevitt, Christopher J.; Guo, Zehua; Tang, Xian-Zhu
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 5