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Thanks to averaging processes and Gamma-convergence techniques, we are ableto link a microscopic description of ferromagnetic materials based on spinlattices and their mesoscopic description in the static framework for the threefundamental contributions: exchange, magnetostatic and external field. Theresults are in accordance with the classical continuous description offerromagnetic phenomena and justifies it. This work is a seed towards a dynamicdescription of ferromagnetic materials.

Static ferromagnetic materials: from the microscopic to the mesoscopic scale