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arXiv · 1111.2421

Static ferromagnetic materials: from the microscopic to the mesoscopic scale

Brigitte Bidégaray-Fesquet·Quentin Jouet·Stéphane Labbé
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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.

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Brigitte Bidégaray-Fesquet, Quentin Jouet, Stéphane Labbé. 2013-05-02. Static ferromagnetic materials: from the microscopic to the mesoscopic scale. https://doi.org/10.1142/s0219199713500132

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