Composition schemes for the stochastic differential equation describing collisional pitch-angle diffusion
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
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.
Pitch-angle scattering, Stochastic differential equation, Monte Carlo, Coulomb collisions
Physical Sciences Computer Science
IdentifiersURN: urn:nbn:se:kth:diva-141053DOI: 10.1016/j.cpc.2013.10.023ISI: 000329537500017ScopusID: 2-s2.0-84888643216OAI: oai:DiVA.org:kth-141053DiVA: diva2:695706
FundereSSENCE - An eScience Collaboration
QC 201402122014-02-122014-02-072014-02-12Bibliographically approved