D’Elia, L., Davoli, E., & Ingmanns, J. (2023, February 28). Stochastic homogenization of micromagnetic energies [Conference Presentation]. Third Austrian Day of Women in Mathematics 2023, Austria. http://hdl.handle.net/20.500.12708/192296
Nowadays, magnetic materials play an important role in modern technology. Such materials find applications in the construction of electric and medical devices, and data storage to name a few. Very often, the efficiency of the device is based on the magnetic properties of the materials used. From a mathematical viewpoint, the study of these materials is challenging since the material-dependent parameters vary at a very small scale. This suggests carrying out a homogenization procedure. In this talk, we provide an effective description of magnetic composites whose heterogeneities are randomly distributed. More specifically, in the framework of Gamma-convergence and stochastic two-scale convergence, we analyse how the bulk Dzyaloshinskii-Moriya interaction affects the magnetic properties of composite ferromagnetic materials.