Repulsive interaction of Néel Walls, & the internal length scale of the cross-tie wall

Antonio Desimone, Robert Kohn, Stefan Müller, Felix Otto

Research output: Contribution to journalArticle

Abstract

Ńeel walls and cross-tie walls are two structures commonly seen in ferromagnetic thin films. They are interesting because their internal length scales are not determined by dimensional analysis alone. This paper studies (a) the repulsive interaction of one-dimensional Ńeel walls and (b) the internal length scale of the cross-tie wall. Our analysis of (a) is mathematically rigorous; it provides, roughly speaking, the first two terms of an asymptotic expansion for the energy of a pair of interacting walls. Our analysis of (b) is heuristic, since it rests on an analogy between the cross-tie wall and an ensemble of Ńeel walls. This analogy, combined with our results on Ńeel walls and a judicious choice of parameter regime, yields a specific prediction for the internal length scale of a cross-tie wall. This prediction is consistent with the experimentally observed trends.

Original languageEnglish (US)
Pages (from-to)57-104
Number of pages48
JournalMultiscale Modeling and Simulation
Volume1
Issue number1
DOIs
StatePublished - 2003

Fingerprint

Tie
Length Scale
Internal
Interaction
eel
Analogy
interactions
Thin films
Prediction
Dimensional Analysis
Asymptotic Expansion
Thin Films
Ensemble
Heuristics
Term
Energy
dimensional analysis
prediction
predictions
heuristics

Keywords

  • Cross-tie wall
  • Micromagnetics
  • Néel wall
  • Thin films

ASJC Scopus subject areas

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Repulsive interaction of Néel Walls, & the internal length scale of the cross-tie wall. / Desimone, Antonio; Kohn, Robert; Müller, Stefan; Otto, Felix.

In: Multiscale Modeling and Simulation, Vol. 1, No. 1, 2003, p. 57-104.

Research output: Contribution to journalArticle

Desimone, Antonio ; Kohn, Robert ; Müller, Stefan ; Otto, Felix. / Repulsive interaction of Néel Walls, & the internal length scale of the cross-tie wall. In: Multiscale Modeling and Simulation. 2003 ; Vol. 1, No. 1. pp. 57-104.
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