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Title: Adaptive time-stepping Monte Carlo integration of Coulomb collisions

Journal Article · · Computer Physics Communications

Here, we report an accessible and robust tool for evaluating the effects of Coulomb collisions on a test particle in a plasma that obeys Maxwell–Jüttner statistics. The implementation is based on the Beliaev–Budker collision integral which allows both the test particle and the background plasma to be relativistic. The integration method supports adaptive time stepping, which is shown to greatly improve the computational efficiency. The Monte Carlo method is implemented for both the three-dimensional particle momentum space and the five-dimensional guiding center phase space.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
259675; 298126; AC02–09CH11466; AC02–09-CH11466
OSTI ID:
1441004
Alternate ID(s):
OSTI ID: 1564327
Journal Information:
Computer Physics Communications, Vol. 222, Issue C; ISSN 0010-4655
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (13)

Variable Step Size Control in the Numerical Solution of Stochastic Differential Equations journal October 1997
Multilevel Monte Carlo simulation of Coulomb collisions journal October 2014
Higher-order time integration of Coulomb collisions in a plasma using Langevin equations journal June 2013
Dynamical friction in a relativistic plasma journal May 2014
A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields journal September 2004
Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation journal September 2013
An adaptive timestepping algorithm for stochastic differential equations journal December 2003
Monte Carlo evaluation of transport coefficients journal January 1981
Volume-preserving algorithm for secular relativistic dynamics of charged particles journal April 2015
Slowing-Down Dynamics of Fast Particles in Plasmas via the Fokker-Planck Equation journal January 2004
On the simulation of iterated Itô integrals journal January 2001
Differential form of the collision integral for a relativistic plasma journal October 1987
A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields text January 2004

Cited By (2)

Electron acceleration in a JET disruption simulation journal August 2018
Electron acceleration in a JET disruption simulation text January 2018

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