MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Asymmetric domain walls of small angle in soft ferromagnetic films
Lukas Döring and Radu IgnatAbstract
We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free S2-valued transition layers that connect two directions in S2 (differing by an angle 2θ) and minimize the Dirichlet energy. Our main result is the rigorous derivation of the asymptotic structure and energy of such "asymmetric" domain walls in the limit θ to 0. As an application, we deduce that a supercritical bifurcation causes the transition from symmetric to asymmetric walls in the full micromagnetic model.
- Received:
- 09.01.15
- Published:
- 16.01.15
- MSC Codes:
- 49S05, 49J45, 78A30, 35B32, 35B36
- Keywords:
- micromagnetics, transition layer, gamma-convergence, S2-harmonic maps, spectral gap, Eikonal equation