Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu

Chiaming Wang, Tungyou Lin, Russel Caflisch, Bruce I. Cohen, Andris M. Dimits

Research output: Contribution to journalArticle

Abstract

The interactions of charged particles in a plasma are governed by long-range Coulomb collision. We compare two widely used Monte Carlo models for Coulomb collisions. One was developed by Takizuka and Abe in 1977, the other was developed by Nanbu in 1997. We perform deterministic and statistical error analysis with respect to particle number and time step. The two models produce similar stochastic errors, but Nanbu's model gives smaller time step errors. Error comparisons between these two methods are presented.

Original languageEnglish (US)
Pages (from-to)4308-4329
Number of pages22
JournalJournal of Computational Physics
Volume227
Issue number9
DOIs
StatePublished - Apr 20 2008

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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