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Composition schemes for the stochastic differential equation describing collisional pitch-angle diffusion
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.ORCID iD: 0000-0002-7142-7103
2014 (English)In: Computer Physics Communications, ISSN 0010-4655, E-ISSN 1879-2944, Vol. 185, no 2, 590-594 p.Article in journal (Refereed) Published
Abstract [en]

Two new second order accurate Monte Carlo integration schemes are derived for the stochastic differential equation describing pitch-angle scattering by Coulomb collisions in magnetized plasmas. Here the pitch-angle is the angle between the magnetic field and the particle velocity vectors. Mathematically this collision process corresponds to diffusion in the polar angle of a spherical coordinate system. The schemes are simple to implement, they are naturally bounded to the solution domain and their convergences are shown to compare favourably against commonly used alternative integration schemes.

Place, publisher, year, edition, pages
2014. Vol. 185, no 2, 590-594 p.
Keyword [en]
Pitch-angle scattering, Stochastic differential equation, Monte Carlo, Coulomb collisions
National Category
Physical Sciences Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-141053DOI: 10.1016/j.cpc.2013.10.023ISI: 000329537500017Scopus ID: 2-s2.0-84888643216OAI: oai:DiVA.org:kth-141053DiVA: diva2:695706
Funder
eSSENCE - An eScience Collaboration
Note

QC 20140212

Available from: 2014-02-12 Created: 2014-02-07 Last updated: 2017-12-06Bibliographically approved

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Johnson, Thomas

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