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The self-organization of porous nanostructures in anodic oxide is considered. A mathematical model which incorporates the electrochemical transport of oxygen ions within the oxide layer and the chemical reactions at the metal-oxide and oxide-electrolyte interfaces is developed. It is shown through linear stability analysis that a short-wave instability exists in certain parameter ranges which can lead to the formation of hexagonally ordered pores observed in anodized aluminum oxide. Numerical simulations validate these results.
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Stanton et al. (2009) studied this question.
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