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Bibliographic Details
Main Authors: Jiang, J. Samuel, Kaper, Hans G., Leaf, Gary K.
Format: Preprint
Published: 2001
Subjects:
Online Access:https://arxiv.org/abs/math/0101077
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Table of Contents:
  • This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers of a hard material. Each atomic layer is taken to be uniformly magnetized, and spatial inhomogeneities within an atomic layer are neglected. The state of such a system is described by a chain of magnetic spin vectors. Each spin vector behaves like a spinning top driven locally by the effective magnetic field and subject to damping (Landau-Lifshitz-Gilbert equation). A numerical integration scheme for the LLG equation is presented that is unconditionally stable and preserves the magnitude of the magnetization vector at all times. The results of numerical investigations for a bilayer in a rotating in-plane magnetic field show hysteresis with a basic period of $2π$ at moderate fields and hysteresis with a basic period of $π$ at strong fields.