On the energy of domain walls in ferromagnetism

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In the theory of micromagnetics, the magnetization of a ferromagnetic sample has an energy that is the sum of four components. We study the asymptotic behaviour of this functional when a parameter (the so-called exchange length) tends to 0. The interaction of two of the components of the energy permits the use of well-known methods from the theory of phase transitions. In the limit this gives rise to a division of the sample into domains of constant magnetization, separated by domain walls. We examine the contribution of a third energy (the energy of the stray field) to the limiting problem. In particular, we derive an estimate for the energy density on the domain walls.
Original languageEnglish
Pages (from-to)399-419
Number of pages21
JournalInterfaces and Free Boundaries
Issue number3
Publication statusPublished - 2009


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