Repulsive Interaction of Néel Walls, and the Internal Length Scale of the Cross-Tie Wall

DOI10.1137/S1540345902402734zbMath1059.82046OpenAlexW2073030855WikidataQ59202313 ScholiaQ59202313MaRDI QIDQ4653954

Felix Otto, Robert V. Kohn, Stefan Müller, Antonio De Simone

Publication date: 1 March 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1540345902402734

zbMATH Keywords

micromagneticsthin filmsNéel wallcross-tie wall

Mathematics Subject Classification ID

Statistical mechanics of magnetic materials (82D40) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Asymptotic analysis in optics and electromagnetic theory (78M35) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (13)

Asymmetric domain walls of small angle in soft ferromagnetic films ⋮ Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics ⋮ The mathematics of thin structures ⋮ Stability of static walls for a three-dimensional model of ferromagnetic material ⋮ Convergence of a ferromagnetic film model ⋮ An effective model for boundary vortices in thin-film micromagnetics ⋮ A zigzag pattern in micromagnetics ⋮ A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals ⋮ 2-D stability of the Néel wall ⋮ Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape ⋮ A \(\Gamma \)-convergence result for Néel walls in micromagnetics ⋮ Separation of domain walls with nonlocal interaction and their renormalised energy by \(\Gamma\)-convergence in thin ferromagnetic films ⋮ Energy minimisers of prescribed winding number in an \(\mathbb{S}^1\)-valued nonlocal Allen-Cahn type model

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