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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2016

Asymmetric Domain Walls of Small Angle in Soft Ferromagnetic Films

Lukas Döring
  • Fonction : Auteur
Radu Ignat

Résumé

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 $S^2$-valued transition layers that connect two directions in $S^2$ (differing by an angle $2\theta$) 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 $\theta \to 0$. As an application, we deduce that a supercritical bifurcation causes the transition from symmetric to asymmetric walls in the full micromagnetic model.

Dates et versions

hal-01673409 , version 1 (29-12-2017)

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Lukas Döring, Radu Ignat. Asymmetric Domain Walls of Small Angle in Soft Ferromagnetic Films. Archive for Rational Mechanics and Analysis, 2016, 220 (2), pp.889 - 936. ⟨10.1007/s00205-015-0944-0⟩. ⟨hal-01673409⟩
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