Title
On the Evolution of Domain Walls in Hard Ferromagnets
Abstract
We propose a sharp-interface theory for the dynamics of domain walls in highly anisotropic ("hard") ferromagnetic bodies. Starting from the Gilbert equation, we consider the asymptotic regime when the hardness parameter goes to infinity, and we use the technique of matched expansions to derive a system of two evolution equations for the domain wall, regarded as a smooth surface. The first equation, apart for a nonlocal forcing term, has the standard form for a surface set in motion according to its mean curvature. The second relates the normal velocity to the internal structure of the domain wall.
Year
DOI
Venue
2004
10.1137/S003613990343402X
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
micromagnetics,domain walls,matched asymptotic expansions,motion by curvature
Ferromagnetism,Anisotropy,Mathematical analysis,Mean curvature,Infinity,Forcing (mathematics),Domain wall (magnetism),Micromagnetics,Mathematics
Journal
Volume
Issue
ISSN
64
6
0036-1399
Citations 
PageRank 
References 
2
1.17
0
Authors
2
Name
Order
Citations
PageRank
Giuseppe Tomassetti121.17
Paolo Podio-Guidugli231.99