Geodesic
Effect of Electrostriction on the Self-organization of Porous Nanostructures in Anodized Aluminum Oxide
L. G. Stanton1 ; A. A. Golovin1
1 Department of Applied Mathematics, Northwestern University, 60208 Evanston, USA
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 5, pp. 73-91.

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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.
DOI : 10.1051/mmnp:2008077

L. G. Stanton 1 ; A. A. Golovin 1

1 Department of Applied Mathematics, Northwestern University, 60208 Evanston, USA 
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L. G. Stanton; A. A. Golovin. Effect of Electrostriction on the Self-organization of Porous Nanostructures in Anodized Aluminum Oxide. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 5, pp. 73-91. doi : 10.1051/mmnp:2008077. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008077/

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