In this article, a few problems related to multiscale modelling of magnetic materials at finite temperatures and possible ways of solving these problems are discussed. The discussion is mainly centred around two established multiscale concepts: the partitioned domain and the upscaling-based methodologies. The major challenge for both multiscale methods is to capture the correct value of magnetisation length accurately, which is affected by a random temperature-dependent force. Moreover, general limitations of these multiscale techniques in application to spin systems are discussed.
@article{arxiv.1702.05173,
title = {Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature},
author = {Doghonay Arjmand and Mikhail Poluektov and Gunilla Kreiss},
journal= {arXiv preprint arXiv:1702.05173},
year = {2017}
}