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One-dimensional magnetic domain walls

Published online by Cambridge University Press:  10 January 2005

CARLOS J. GARCÍA-CERVERA
CARLOS J. GARCÍA-CERVERA
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, USA email: [email protected]
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Abstract

Ferromagnetic materials may present a complicated domain structure, due in part to the nonlocal nature of the self interactions. In this article we present a detailed study of the structure of one-dimensional magnetic domain walls in uniaxial ferromagnetic materials, and in particular, of the Néel and Bloch walls. We analyze the logarithmic tail of the Néel wall, and identify the characteristic length scales in both the Néel and Bloch walls. This analysis is used to obtain the optimal energy scaling for the Néel and Bloch walls. Our results are illustrated with numerical simulations of one-dimensional walls. A new model for the study of ferromagnetic thin films is presented.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 4 , August 2004 , pp. 451 - 486
Copyright
2004 Cambridge University Press

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