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Micromagnetics

In the experiments, one observes that during its lifetime and before its decay the concertina pattern coarsens several times, successively increasing the period. Figure 2 schematically depicts the…

Micromagnetics

This almost periodic magnetization pattern is frequently observed during the switching process of the magnetization in elongated thin ferromagnetic samples. The configurations observed during the…

Micromagnetics

The concertina pattern In a series of articles [5,6,7,8] and in collaboration with a group of experimental physicists of the IfW in Dresden, we investigated the formation and hysteresis of the…

Micromagnetics

By rigorously deriving a Taylor expansion of the mathematically challenging exchange (better known as Dirichlet) energy of divergence-free unit-length vector fields for small rotations in [4], we…

Micromagnetics

In thicker films, variation in the thickness direction is not as strongly penalized, such that two different divergence-free transition layers - the so-called asymmetric Néel and Bloch wall - can…

Micromagnetics

The type of those transition layers - usually called domain walls - is particularly interesting in the class of soft materials with almost negligible anisotropy, when additionally the sample is a…

Micromagnetics

Wall configurations However, one should note that the exchange energy in fact prevents a jumping magnetization, as was assumed in the previous heuristic reasoning. Indeed, it will rotate smoothly…

Micromagnetics

When material parameters and involved length scales are extremal, one can often use (rigorous) asymptotic analysis to derive from the few basic effects mentioned above a reduced model that -…

Micromagnetics - ...but complex patterns

...but complex patterns Through the four competing effects and the non-convex unit-length constraint, minimizers of E exhibit a large variety of interesting patterns, e.g.

Micromagnetics - Simple energy...

Simple energy... The Landau-Lifshitz model for ferromagnetic samples Ω states that the magnetization m, a vector field of unit length on Ω, is determined through the competition…
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