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The logarithmic tail of Neel walls

Abstract:

We study the multiscale problem of a parametrized planar 180° rotation of magnetization states in a thin ferromagnetic film. In an appropriate scaling and when the film thickness is comparable to the Bloch line width, the underlying variational principle has the form Q ∥ m ∥Ḣ12 + ∥ u ∥L22 + 〈u|SQ|u〉 → min, m = (u, v) : ℝ → double-struck S sign1 with u(0) = 1, where the reduced stray-field operator SQ approximates (-Δ)1/2 as the quality factor Q tends to zero. We show that the associated Néel ...

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Publication status:
Published

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Publisher copy:
10.1007/s00205-003-0248-7

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Journal:
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS More from this journal
Volume:
168
Issue:
2
Pages:
83-113
Publication date:
2003-06-01
DOI:
EISSN:
1432-0673
ISSN:
0003-9527
Language:
English
Pubs id:
pubs:26532
UUID:
uuid:2160247f-5430-422c-9a95-caa01cc12fad
Local pid:
pubs:26532
Source identifiers:
26532
Deposit date:
2012-12-19

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