Static ferromagnetic materials: from the microscopic to the mesoscopic scale

Details Static ferromagnetic materials: from the microscopic to the mesoscopic scale Static ferromagnetic materials: from the microscopic to the mesoscopic scale

2011-11-10

arxiv.org/abs/1111.2421v1

Mathematics

Analysis of PDEs

Scientific paper

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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