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

  • E. Hirvijoki
  • , A. Brizard
  • , A. Snicker
  • , T. Kurki-Suonio
  • Aalto University
  • University of Toronto

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.

Original languageEnglish
Article number092505
JournalPhysics of Plasmas
Volume20
Issue number9
DOIs
Publication statusPublished - Sept 2013
MoE publication typeA1 Journal article-refereed

Funding

This work, supported by the European Communities under the contract of Association between Euratom–Tekes, was carried out within the framework of the European Fusion Development Agreement. The views and opinions expressed herein do not necessarily reflect those of the European Commission. Funding was also received from the Academy of Finland Project No. 259675, from the Fusion for Energy Grant 379, from the Emil Aaltonen Foundation, and from the Finnish Foundation for Technology Promotion, making this collaboration possible.

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