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

doi:10.1016/j.jcp.2007.12.027

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	4308-4329
Number of pages	22
Journal	Journal of Computational Physics
Volume	227
Issue number	9
DOIs	https://doi.org/10.1016/j.jcp.2007.12.027
State	Published - 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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title = "Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu",

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.",

author = "Chiaming Wang and Tungyou Lin and Russel Caflisch and Cohen, {Bruce I.} and Dimits, {Andris M.}",

note = "Funding Information: The work of Wang, Lin and Caflisch was supported in part by grant DE-FG02-05ER25710 from the U.S. Department of Energy. The work of Cohen and Dimits was performed under the auspices of the U.S. Department of Energy by the Lawrence Livermore National Laboratory in part under Contract W-7405-Eng-48 and in part under Contract DE-AC52-07NA27344.",

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AU - Dimits, Andris M.

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AB - 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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