Static ferromagnetic materials: from the microscopic to the mesoscopic scale
Analysis of PDEs
2013-05-03 v3
Abstract
Thanks to averaging processes and Gamma-convergence techniques, we are able to link a microscopic description of ferromagnetic materials based on spin lattices and their mesoscopic description in the static framework for the three fundamental contributions: exchange, magnetostatic and external field. The results are in accordance with the classical continuous description of ferromagnetic phenomena and justifies it. This work is a seed towards a dynamic description of ferromagnetic materials.
Cite
@article{arxiv.1111.2421,
title = {Static ferromagnetic materials: from the microscopic to the mesoscopic scale},
author = {Brigitte Bidégaray-Fesquet and Quentin Jouet and Stéphane Labbé},
journal= {arXiv preprint arXiv:1111.2421},
year = {2013}
}