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research article

Modelling long-range interactions in multiscale simulations of ferromagnetic materials

Arjmand, Doghonay  
•
Poluektov, Mikhail
•
Kreiss, Gunilla
January 29, 2020
Advances In Computational Mathematics

Atomistic-continuum multiscale modelling is becoming an increasingly popular tool for simulating the behaviour of materials due to its computational efficiency and reliable accuracy. In the case of ferromagnetic materials, the atomistic approach handles the dynamics of spin magnetic moments of individual atoms, while the continuum approximations operate with volume-averaged quantities, such as magnetisation. One of the challenges for multiscale models in relation to physics of ferromagnets is the existence of the long-range dipole-dipole interactions between spins. The aim of the present paper is to demonstrate a way of including these interactions into existing atomistic-continuum coupling methods based on the partitioned-domain and the upscaling strategies. This is achieved by modelling the demagnetising field exclusively at the continuum level and coupling it to both scales. Such an approach relies on the atomistic expression for the magnetisation field converging to the continuum expression when the interatomic spacing approaches zero, which is demonstrated in this paper.

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Type
research article
DOI
10.1007/s10444-020-09747-5
Web of Science ID

WOS:000514642000001

Author(s)
Arjmand, Doghonay  
Poluektov, Mikhail
Kreiss, Gunilla
Date Issued

2020-01-29

Publisher

SPRINGER

Published in
Advances In Computational Mathematics
Volume

46

Issue

1

Start page

2

Subjects

Mathematics, Applied

•

Mathematics

•

micromagnetism-multiscale

•

modelling-ferromagnetic

•

materials

•

continuum

•

equation

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ANMC  
Available on Infoscience
March 6, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/167070
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