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Scale Transitions in Magnetisation Dynamics

Part of: Approximation methods and numerical treatment of dynamical systems Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  05 October 2016

Mikhail Poluektov ,
Olle Eriksson  and
Gunilla Kreiss
Mikhail Poluektov*
Affiliation:
Department of Information Technology, Uppsala University, Box 337, SE-751 05 Uppsala, Sweden
Olle Eriksson*
Affiliation:
Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 05 Uppsala, Sweden
Gunilla Kreiss*
Affiliation:
Department of Information Technology, Uppsala University, Box 337, SE-751 05 Uppsala, Sweden
*
*Corresponding author. Email addresses:mikhail.poluektov@it.uu.se (M. Poluektov), olle.eriksson@physics.uu.se (O. Eriksson), gunilla.kreiss@it.uu.se (G. Kreiss)
*Corresponding author. Email addresses:mikhail.poluektov@it.uu.se (M. Poluektov), olle.eriksson@physics.uu.se (O. Eriksson), gunilla.kreiss@it.uu.se (G. Kreiss)
*Corresponding author. Email addresses:mikhail.poluektov@it.uu.se (M. Poluektov), olle.eriksson@physics.uu.se (O. Eriksson), gunilla.kreiss@it.uu.se (G. Kreiss)
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Abstract

Multiscale modelling is a powerful technique, which allows for computational efficiency while retaining small-scale details when they are essential for understanding a finer behaviour of the studied system. In the case of materials modelling, one of the effective multiscaling concepts is domain partitioning, which implies the existence of an explicit interface between various material descriptions, for instance atomistic and continuum regions. When dynamic material behaviour is considered, the major problem for this technique is dealing with reflections of high frequency waves from the interface separating two scales. In this article, a new method is suggested, which overcomes this problem for the case of magnetisation dynamics. The introduction of a damping band at the interface between scales, which absorbs high frequency waves, is suggested. The idea is verified using a number of one-dimensional examples with fine/coarse scale discretisation of a continuum problem of spin wave propagation. This work is the first step towards establishing a reliable atomistic/continuum multiscale transition for the description of the evolution of magnetic properties of ferromagnets.

Keywords

Magnetisation dynamicsspin wavesmultiscale modellingmultigrid methods

MSC classification

Secondary: 65M55: Multigrid methods; domain decomposition 65Z05: Applications to physics 37M05: Simulation
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 4 , October 2016 , pp. 969 - 988
Copyright
Copyright © Global-Science Press 2016 

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