UMR 5224

Brigitte BidégarayFesquet — MicromagnetismPartners
Previous workMicromagnetic objects are important issues for applications to nanoelectronics, magnetic recording or characterization. Modelling the magnetization of such small objects should allow to optimize their performance in complex systems At this scale, there is a need for very precise models with established theoretical grounds and until now the transistion for these materials from the atomic to the mesoscopic scale has not been studied mathematically yet. Physicists are however highly interested in understanding the exact link between ab initio models and mesoscopic models which are the only of practical use for modellig complex systems. The Landau–Lifschitz–Gilbert equation is a macroscopic model which describes the time evolution of the magnetization. It involves a damping term with a phenomenological coefficient α. Our goal is to construct a mesoscopic model and pass to the macroscopic scale hoping to find the origins and size of α. This work is supported by the RTRA Nanoscience project HMMAG (Hytérésis et Modélisation des microobjets MAGnétiques) which also deals with hysteresis issues. Our first paper deals with the homogeneization of a lattice of dipoles in the stationary case to derive the exchange term [BJL14]. Ongoing workWe are currently working on
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