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Title: Adjoint Fokker-Planck equation and runaway electron dynamics

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4938510· OSTI ID:22493801
; ;  [1];  [2]
  1. Princeton University, Princeton, New Jersey 08544 (United States)
  2. Columbia University, New York, New York 10027 (United States)

The adjoint Fokker-Planck equation method is applied to study the runaway probability function and the expected slowing-down time for highly relativistic runaway electrons, including the loss of energy due to synchrotron radiation. In direct correspondence to Monte Carlo simulation methods, the runaway probability function has a smooth transition across the runaway separatrix, which can be attributed to effect of the pitch angle scattering term in the kinetic equation. However, for the same numerical accuracy, the adjoint method is more efficient than the Monte Carlo method. The expected slowing-down time gives a novel method to estimate the runaway current decay time in experiments. A new result from this work is that the decay rate of high energy electrons is very slow when E is close to the critical electric field. This effect contributes further to a hysteresis previously found in the runaway electron population.

OSTI ID:
22493801
Journal Information:
Physics of Plasmas, Vol. 23, Issue 1; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English

Cited By (7)

Resolving runaway electron distributions in space, time, and energy journal May 2018
A Langevin approach to multi-scale modeling journal April 2018
Phase-space dynamics of runaway electrons in magnetic fields journal February 2017
Conservative magnetic moment of runaway electrons and collisionless pitch-angle scattering journal August 2018
Physics of runaway electrons in tokamaks journal June 2019
Evaluation of Monte Carlo tools for high-energy atmospheric physics II: relativistic runaway electron avalanches journal January 2018
A Langevin approach to multi-scale modeling text January 2018