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- W2160615330 abstract "We study the vortex pattern in ultrathin ferromagnetic films of circular crosssection. The model is based on the following energy functional: for in-plane magnetizations m: B2 → S1 in the unit disc . The avoidance of volume charges ▿ · m ≠ 0 in B2 and surface charges m · ν ≠ 0 on δB2 leads to the formation of a vortex in the limit ε → 0. At the level ε > 0 the vortex is regularized by the formation of a 360° Néel wall (a one-dimensional transition layer with core of scale ε) concentrated along a radius of B2. We derive the limiting energy of the vortex by matching upper and lower bounds. Our analysis on the lower bound is based on a dynamical system argument and an interpolation inequality with sharp leading-order constant, while the upper bound uses the leading-order energy for 360° Néel walls. © 2010 Wiley Periodicals, Inc." @default.
- W2160615330 created "2016-06-24" @default.
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- W2160615330 date "2010-03-15" @default.
- W2160615330 modified "2023-09-27" @default.
- W2160615330 title "Vortex energy and 360° Néel walls in thin-film micromagnetics" @default.
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- W2160615330 doi "https://doi.org/10.1002/cpa.20322" @default.
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