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Title: 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 » in a tokamak.« less

Authors:
ORCiD logo [1];  [1];  [1]
  1. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: The formation of a runaway vortex in momentum space for primary runaways depends on a threshold parallel electric field EOX. In all these diagrams, the horizontal axis is the kinetic energy of the relativistic electrons (normalized against mec 2) with γ the Lorentz factor, and the vertical axismore » is the pitch of the electron, ξp/p, with respect to the magnetic field. When the parallel electric field surpasses EOX, the parallel electric field can pinch the decelerated runaways back to the runaway region (a) and a runaway vortex forms in momentum space (c), signifying a region in momentum space where the primary runaway electrons can undergo a cyclic motion of acceleration and deceleration that are modulated by pitch angle diffusion (as a result of Coulomb collisions and/or wave-particle interaction) and pinching (as result of parallel electric field acceleration). If the parallel electric is below EOX, runaways electrons are decelerated all the way to return to the thermal bulk (b), forming the so-called transit runaways (d).« less

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