Static ferromagnetic materials: from the microscopic to the mesoscopic   scale
  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. 
Brigitte Bid\'egaray-Fesquet (LJK), Quentin Jouet (LJK), St\'ephane   Labb\'e (LJK)
math.AP