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Splitting methods for time integration of trajectories in combined electric and magnetic fields
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2015 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 92, no 6, 063310Article in journal (Refereed) PublishedText
Abstract [en]

The equations of motion of a single particle subject to an arbitrary electric and a static magnetic field form a Poisson system. We present a second-order time integration method which preserves well the Poisson structure and compare it to commonly used algorithms, such as the Boris scheme. All the methods are represented in a general framework of splitting methods. We use the so-called phi functions, which give efficient ways for both analyzing and implementing the algorithms. Numerical experiments show an excellent long term stability for the method considered.

Place, publisher, year, edition, pages
American Physical Society , 2015. Vol. 92, no 6, 063310
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-180986DOI: 10.1103/PhysRevE.92.063310ISI: 000367383100025ScopusID: 2-s2.0-84954502874OAI: oai:DiVA.org:kth-180986DiVA: diva2:898500
Note

QC 20160128

Available from: 2016-01-28 Created: 2016-01-26 Last updated: 2016-01-28Bibliographically approved

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Koskela, Antti
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