skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Loss of relativistic electrons when magnetic surfaces are broken

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4966046· OSTI ID:1465170
 [1]; ORCiD logo [2]
  1. Columbia Univ., New York, NY (United States). Dept. of Applied Physics and Applied Mathematics
  2. Hampton Univ., Hampton, VA (United States). Dept. of Mathematics

Relativistic runaway electrons in ITER could be confined in a broad annulus of stochastic magnetic field lines bounded by an annulus of magnetic surfaces. The outer confining annulus can be broken by either an evolution of the magnetic field or by the drift of the plasma into the walls. Both possibilities are studied, and in both cases, the relativistic electrons in the stochastic region are lost to the walls in a short pulse of length $$\tau$$ along a narrow tube, which carries a flux fψst, where f ~ 10-3 and ψst is the toroidal flux in stochastic annulus. Both $$\tau$$ and f are determined by two parameters: the time it takes for a toroidal transit of a relativistic electron $$\tau$$t = 2πR/c, which is approximately 0.1 μs in ITER, and the evolution time $$\tau$$ev, which is of order 100 ms in most conditions of interest for ITER. The concept of turnstiles in Hamiltonian mechanics is then used to obtain the relation between $$\tau$$ and f and $$\tau$$t and $$\tau$$ev. The turnstile concept is also important in the theory of divertors for stellarators.

Research Organization:
Columbia Univ., New York, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Contributing Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Grant/Contract Number:
FG02-03ER54696; FG02-04ER54793; AC02-05CH11231
OSTI ID:
1465170
Alternate ID(s):
OSTI ID: 1330119
Journal Information:
Physics of Plasmas, Vol. 23, Issue 10; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (15)

Collisional avalanche exponentiation of runaway electrons in electrified plasmas journal January 1993
Plasma–surface interactions during tokamak disruptions and rapid shutdowns journal August 2011
Physics of magnetically confined plasmas journal January 2005
Runaway electron confinement modelling for rapid shutdown scenarios in DIII-D, Alcator C-Mod and ITER journal May 2011
Inter-machine comparison of the termination phase and energy conversion in tokamak disruptions with runaway current plateau formation and implications for ITER journal July 2014
Markov tree model of transport in area-preserving maps journal June 1986
Thirty years of turnstiles and transport journal September 2015
Stellarator design journal December 2015
Theory for avalanche of runaway electrons in tokamaks journal October 1997
Disruptions in ITER and strategies for their control and mitigation journal August 2015
Runaway electron beam generation and mitigation during disruptions at JET-ILW journal August 2015
Guiding center drift equations journal January 1980
Stochasticity and Transport in Hamiltonian Systems journal February 1984
Status of research toward the ITER disruption mitigation system journal November 2014
Thirty Years of Turnstiles and Transport text January 2015

Cited By (11)

Simulation of stellarator divertors journal September 2018
Simulations of the effects of pre-seeded magnetic islands on the generation of runaway current during disruption on J-TEXT journal June 2019
Simulation of non-resonant stellarator divertor journal January 2020
Magnetic surface loss and electron runaway journal January 2019
Kink instabilities of the post-disruption runaway electron beam at low safety factor journal March 2019
Test particles dynamics in the JOREK 3D non-linear MHD code and application to electron transport in a disruption simulation journal December 2017
Electron acceleration in a JET disruption simulation journal August 2018
Physics of runaway electrons in tokamaks journal June 2019
MARS-F modeling of post-disruption runaway beam loss by magnetohydrodynamic instabilities in DIII-D journal October 2019
Electron acceleration in a JET disruption simulation text January 2018
Simulation of non-resonant stellarator divertor text January 2021