# Homogenization of ferromagnetic multilayers in the presence of surface energies

ESAIM: Control, Optimisation and Calculus of Variations (2007)

- Volume: 13, Issue: 2, page 305-330
- ISSN: 1292-8119

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topSantugini-Repiquet, Kévin. "Homogenization of ferromagnetic multilayers in the presence of surface energies." ESAIM: Control, Optimisation and Calculus of Variations 13.2 (2007): 305-330. <http://eudml.org/doc/249990>.

@article{Santugini2007,

abstract = {
We study the homogenization process of
ferromagnetic multilayers in the presence of surface energies:
super-exchange, also called interlayer exchange coupling,
and surface anisotropy. The two main difficulties are the non-linearity
of the Landau-Lifshitz equation and the absence of a good sequence
of extension operators for the multilayer geometry.
First, we consider the case when surface anisotropy
is the dominant term, then the case when the magnitude of the super-exchange
interaction is inversely proportional to the interlayer distance. We establish
the homogenized equation in these two situations.
},

author = {Santugini-Repiquet, Kévin},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Ferromagnetism; multilayers; Landau-Lifshitz equation; micromagnetic model; interlayer exchange coupling; surface anisotropy},

language = {eng},

month = {5},

number = {2},

pages = {305-330},

publisher = {EDP Sciences},

title = {Homogenization of ferromagnetic multilayers in the presence of surface energies},

url = {http://eudml.org/doc/249990},

volume = {13},

year = {2007},

}

TY - JOUR

AU - Santugini-Repiquet, Kévin

TI - Homogenization of ferromagnetic multilayers in the presence of surface energies

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2007/5//

PB - EDP Sciences

VL - 13

IS - 2

SP - 305

EP - 330

AB -
We study the homogenization process of
ferromagnetic multilayers in the presence of surface energies:
super-exchange, also called interlayer exchange coupling,
and surface anisotropy. The two main difficulties are the non-linearity
of the Landau-Lifshitz equation and the absence of a good sequence
of extension operators for the multilayer geometry.
First, we consider the case when surface anisotropy
is the dominant term, then the case when the magnitude of the super-exchange
interaction is inversely proportional to the interlayer distance. We establish
the homogenized equation in these two situations.

LA - eng

KW - Ferromagnetism; multilayers; Landau-Lifshitz equation; micromagnetic model; interlayer exchange coupling; surface anisotropy

UR - http://eudml.org/doc/249990

ER -

## References

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