Magnetization switching on small ferromagnetic ellipsoidal samples

François Alouges; Karine Beauchard

ESAIM: Control, Optimisation and Calculus of Variations (2008)

  • Volume: 15, Issue: 3, page 676-711
  • ISSN: 1292-8119

Abstract

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The study of small magnetic particles has become a very important topic, in particular for the development of technological devices such as those used for magnetic recording. In this field, switching the magnetization inside the magnetic sample is of particular relevance. We here investigate mathematically this problem by considering the full partial differential model of Landau-Lifschitz equations triggered by a uniform (in space) external magnetic field.

How to cite

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Alouges, François, and Beauchard, Karine. "Magnetization switching on small ferromagnetic ellipsoidal samples." ESAIM: Control, Optimisation and Calculus of Variations 15.3 (2008): 676-711. <http://eudml.org/doc/90932>.

@article{Alouges2008,
abstract = { The study of small magnetic particles has become a very important topic, in particular for the development of technological devices such as those used for magnetic recording. In this field, switching the magnetization inside the magnetic sample is of particular relevance. We here investigate mathematically this problem by considering the full partial differential model of Landau-Lifschitz equations triggered by a uniform (in space) external magnetic field. },
author = {Alouges, François, Beauchard, Karine},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Landau-Lifschitz equation; micromagnetics; stabilization},
language = {eng},
month = {7},
number = {3},
pages = {676-711},
publisher = {EDP Sciences},
title = {Magnetization switching on small ferromagnetic ellipsoidal samples},
url = {http://eudml.org/doc/90932},
volume = {15},
year = {2008},
}

TY - JOUR
AU - Alouges, François
AU - Beauchard, Karine
TI - Magnetization switching on small ferromagnetic ellipsoidal samples
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2008/7//
PB - EDP Sciences
VL - 15
IS - 3
SP - 676
EP - 711
AB - The study of small magnetic particles has become a very important topic, in particular for the development of technological devices such as those used for magnetic recording. In this field, switching the magnetization inside the magnetic sample is of particular relevance. We here investigate mathematically this problem by considering the full partial differential model of Landau-Lifschitz equations triggered by a uniform (in space) external magnetic field.
LA - eng
KW - Landau-Lifschitz equation; micromagnetics; stabilization
UR - http://eudml.org/doc/90932
ER -

References

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  13. J. Jost, Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses. Manuscripta Math.34 (1981) 17–25.  Zbl0459.58013
  14. R. Kikuchi, On the minimum of magnetization reversal time. J. Appl. Phys.27 (1956) 1352–1357.  
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  18. A. Visintin, On Landau-Lifschitz equations for ferromagnetism. Japan J. Appl. Math.2 (1985) 69–84.  Zbl0613.35018

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