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Article Dans Une Revue Communications in Contemporary Mathematics Année : 2014

Static ferromagnetic materials: from the microscopic to the mesoscopic scale

Résumé

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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Dates et versions

hal-00639759 , version 1 (09-11-2011)
hal-00639759 , version 2 (22-03-2013)
hal-00639759 , version 3 (02-05-2013)

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Brigitte Bidégaray-Fesquet, Quentin Jouet, Stéphane Labbé. Static ferromagnetic materials: from the microscopic to the mesoscopic scale. Communications in Contemporary Mathematics, 2014, 16 (1), pp.1350013:1-24. ⟨10.1142/S0219199713500132⟩. ⟨hal-00639759v3⟩
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