Oscillatory buckling mode in thin-film nucleation
type: Item
instance of: scholarly article
title: Oscillatory buckling mode in thin-film nucleation
zbMATH Open document ID: 1129.78017
author: Felix Otto
author: Rubén Cantero-Álvarez
published in: Journal of Nonlinear Science
publication date: 2006-11-17T00:00:00Z
review text: The authors point out that this films of ferromagnetic materials have a number of properties which can affect their magnetization: material length, sample dimension and a long-range spin-interaction. Thus results in such materials having the possibility of existing in different states. The authors analyze the conditions for four such states. This theory, they feel, supersedes the Aharoni theory which only allows of three states: In the analysis, it is shown that the four states depend basically on the film thickness. The four regimes are, in order of measuring thickness. (1) Coherent rotation which involves surface charges. (2) Non-oscillatory buckling, a regime existing without surface charges. (3) Oscillatory buckling which is associated with a competition between volume charges and exchange energy. (4) Curling where there is avoid once of both surface and volume charges. Using variatonal methods, the authors analyze the conditions under which the four states exist and evaluate the upper and lower bounds for the boundaries between the states. The analysis is long involving several lemmas, and consequently will not be treated here.
Mathematics Subject Classification ID: 78A99
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 5073819
zbMATH Keywords: oscillatory buckling mode
zbMATH Keywords: thin-film nucleation
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: s00332-004-0684-z
OpenAlex ID: W2103645687
DOI: 10.1007/S00332-004-0684-Z
description: scientific article; zbMATH DE number 5073819