Research report 2011 - Max Planck Institute for Mathematics in the Sciences

Domain and wall patterns in ferromagnetic films

Döring, Lukas; Otto, Felix; Steiner, Jutta
Arbeitsgruppe Musterbildung, Energielandschaften und Skalierungsgesetze
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
The magnetization of a ferromagnetic material forms a variety of patterns, but the scale separation between large domains of almost constant magnetization and narrow transition layers, so-called domain walls, hinders the numerical simulation of these structures. However, rigorous asymptotic analysis makes it possible to derive reduced models that explain the observed phenomena and make them accessible to numerical simulation, as we will illustrate using the example of the deformed Landau state, asymmetric domain walls and the concertina pattern.

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