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Energetics and switching of quasi-uniform states in small ferromagnetic particles \ud

By François Alouges, Sergio Conti, Antonio DeSimone and Yvo Pokern


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

Topics: QA, QC
Publisher: EDP Sciences
Year: 2004
OAI identifier: oai:wrap.warwick.ac.uk:3825

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  12. (1992). Finite element methods for micromagnetics. doi
  13. (1995). Hysteresis and imperfection sensitivity in small ferromagnetic particles. doi
  14. (1998). Hysteresis in magnetism. doi
  15. (1995). Infinite elements method.
  16. (1996). Introduction to the theory of ferromagnetism. doi
  17. (1998). Magnetic states of small cubic particles with uniaxial anisotropy. doi
  18. (1991). Magnetization curling in an infinite cylinder with a uniaxial magnetocrystalline anisotropy. doi
  19. (1988). Magnetization processes in ferromagnetic cubes. doi
  20. (1993). Method for investigating the reversal properties of isolated barium ferrite fine particles utilizing magnetic force microscopy (mfm). doi
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  23. (1996). Preparation and quantitative magnetic studies of single-domain nickel cylinders. doi
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  26. (1989). The weak solutions to the evolution problems of harmonic maps. doi

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