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

✍ Scribed by Chiaming Wang; Tungyou Lin; Russel Caflisch; Bruce I. Cohen; Andris M. Dimits

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 445 KB
Volume: 227
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.12.027

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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