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Title: Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation

A Monte Carlo method for the collisional guiding-center Fokker-Planck kinetic equation is derived in the five-dimensional guiding-center phase space, where the effects of magnetic drifts due to the background magnetic field nonuniformity are included. It is shown that, in the limit of a homogeneous magnetic field, our guiding-center Monte Carlo collision operator reduces to the guiding-center Monte Carlo Coulomb operator previously derived by Xu and Rosenbluth [Phys. Fluids B 3, 627 (1991)]. Applications of the present work will focus on the collisional transport of energetic ions in complex nonuniform magnetized plasmas in the large mean-free-path (collisionless) limit, where magnetic drifts must be retained.
Authors:
; ;  [1] ;  [2]
  1. Department of Applied Physics, Aalto University, FI-00076 Aalto (Finland)
  2. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
Publication Date:
OSTI Identifier:
22220606
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FOKKER-PLANCK EQUATION; IMPLEMENTATION; KINETIC EQUATIONS; MAGNETIC FIELDS; MONTE CARLO METHOD; PHASE SPACE; PLASMA; PLASMA SIMULATION; TAIL IONS