  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.
