TY - JOUR

T1 - On the energy of domain walls in ferromagnetism

AU - Moser, R

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=73949119585&partnerID=8YFLogxK

UR - http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=11&iss=3&rank=3

M3 - Article

VL - 11

SP - 399

EP - 419

JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

SN - 1463-9963

IS - 3

ER -