

Preprint 88/2003
Energetics and switching of quasi-uniform states in small ferromagnetic particles
François Alouges, Sergio Conti, Antonio DeSimone, and Yvo Pokern
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Submission date: 27. Oct. 2003
Pages: 18
published in: ESAIM / Mathematical modelling and numerical analysis, 38 (2004) 2, p. 235-248
DOI number (of the published article): 10.1051/m2an:2004011
Bibtex
MSC-Numbers: 65L60, 82D40, 78M10
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Abstract:
We present a numerical algorithm to
solve the micromagnetic equations based on tangential-plane
minimization for the magnetization update and a homothethic-layer
decomposition of outer space for the computation of the demagnetization field.
As a first application, detailed results on the flower-vortex
transition in the cube of Micromagnetic Standard Problem number 3 are
obtained, which confirm, with a different method, those already
present in the literature, and validate our method and code. We then
turn to switching of small
cubic or almost-cubic particles, in the single-domain limit. Our data
show systematic deviations from the Stoner-Wohlfarth model due to the
non-ellipsoidal shape of the particle, and in particular a non-monotone
dependence on the particle size.