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Symplectic integrators for spin systems
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 6, 061301- p.Article in journal (Refereed) Published
Abstract [en]

We present a symplectic integrator, based on the implicit midpoint method, for classical spin systems where each spin is a unit vector in R-3. Unlike splittingmethods, it is defined for all Hamiltonians and is O(3)-equivariant, i.e., coordinate-independent. It is a rare example of a generating function for symplectic maps of a noncanonical phase space. It yields a new integrable discretization of the spinning top.

Place, publisher, year, edition, pages
2014. Vol. 89, no 6, 061301- p.
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-91140DOI: 10.1103/PhysRevE.89.061301ISI: 000337345300001OAI: oai:DiVA.org:umu-91140DiVA: diva2:734419
Available from: 2014-07-17 Created: 2014-07-15 Last updated: 2017-12-05Bibliographically approved

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Verdier, Olivier
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