MiS Preprint Repository

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MiS Preprint

The logarithmic tail of Néel walls in thin films

Christof Melcher


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.


Related publications

2003 Repository Open Access
Christof Melcher

The logarithmic tail of Néel walls

In: Archive for rational mechanics and analysis, 168 (2003) 2, pp. 83-113