Effect of Electrostriction on the Self-organization of Porous Nanostructures in Anodized Aluminum Oxide
Department of Applied Mathematics, Northwestern University, 60208
Corresponding author: firstname.lastname@example.org
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.
Mathematics Subject Classification: 78A35 / 35P15
Key words: electrostriction / nanostructures / stability analysis
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