Preprint 61/2001
The logarithmic tail of Néel walls in thin films
Christof Melcher
Contact the author: Please use for correspondence this email.
Submission date: 30. Aug. 2001
Pages: 39
published in: Archive for rational mechanics and analysis, 168 (2003) 2, p. 83-113 
DOI number (of the published article): 10.1007/s00205-003-0248-7
Bibtex
Download full preprint: PDF (489 kB), PS ziped (215 kB)
Abstract:
We study the multiple scale problem of a parametrized planar 180o rotation of magnetization states in a thin ferromagnetic film known as the Néel wall transition. In this context we show that the associated Néel wall profile exhibits a very long logarithmic tail. The proof relies on limiting elliptic regularity methods on the basis of the associated Euler-Lagrange equation and symmetrization arguments on the basis of the variational principle. Finally we study the renormalized limit behaviour as the quality factor tends to zero.