Effect of Electrostriction on the Self-organization of PorousNanostructures in Anodized Aluminum Oxide

The self-organization of porous nanostructures in anodic metal oxide is considered. A mathematical model which incorporates the chemical reactions at the metal-oxide and oxide-electrolyte interfaces and elastic stress caused by the electrostrictive effects is developed. It is shown through linear st...

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Bibliographic Details
Published inMathematical modelling of natural phenomena Vol. 3; no. 5; pp. 73 - 91
Main Authors Stanton, L. G., Golovin, A. A.
Format Journal Article
LanguageEnglish
Published EDP Sciences 2008
Subjects
35P15
78A35
electrostriction
nanostructures
stability analysis
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Summary:The self-organization of porous nanostructures in anodic metal oxide is considered. A mathematical model which incorporates the chemical reactions at the metal-oxide and oxide-electrolyte interfaces and elastic stress caused by the electrostrictive effects is developed. It is shown through linear stability analysis, that a short-wave instability exists in certain parameter regimes which can lead to the formation of hexagonally ordered pores observed in anodized aluminum oxide.
Bibliography:publisher-ID:mmnp20085p73
PII:S0973534808000771
istex:CF8BDD805DE9D835EDA8B4EEDB01B2CCC878E27A
ark:/67375/80W-426G68H7-R
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp:2008077