Scientific article
OA Policy
English

Homogenization of ferromagnetic multilayers in the presence of surface energies

Published in

ESAIM. Control, optimisation and calculus of variations, vol. 13, no. 2, p. 305-330

Publication date

2007

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.

Citation (ISO format)

SANTUGINI-REPIQUET, Kevin. Homogenization of ferromagnetic multilayers in the presence of surface energies. In: ESAIM. Control, optimisation and calculus of variations, 2007, vol. 13, n° 2, p. 305–330. doi: 10.1051/cocv:2007010

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Article (Accepted version)

Identifiers

Additional URL for this publication

http://www.edpsciences.org/10.1051/cocv:2007010

Journal ISSN

1262-3377
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Technical informations

Creation

06/07/2010 11:04:00

First validation

06/07/2010 11:04:00

Update

14/03/2023 15:57:41

Status update

14/03/2023 15:57:41

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29/10/2024 16:26:19
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