1 June 2015 Mathematical modeling of sustainability of porous Al2O3 growth during two-stage anodization process
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Currently, due to the development of nanotechnology and metamaterials, it has become important to obtain regular nanoporous structures with different parameters, such as porous anodic alumina films that are used for synthesis of various nanocomposites.

In this work we consider the motion of the interfaces between electrolyte and alumina layers, and between alumina and aluminum layers. We also took into account the dynamics of moving boundaries and the change of small perturbations of these boundaries. Each area under Laplace’s equation is solved for the potential of the electric field. The growth of porous alumina is described with the theory of small perturbations. Small perturbations of the interface are considered, which lead to small changes in potential and current in the boundaries.

As a result of the developed model we obtained the minimum distance between centers of aluminum oxide pores in the beginning of anodizing process and the wavelength of porous structure irregularities.
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Elizaveta M. Aryslanova, Elizaveta M. Aryslanova, Anton V. Alfimov, Anton V. Alfimov, Sergey A. Chivilikhin, Sergey A. Chivilikhin, } "Mathematical modeling of sustainability of porous Al2O3 growth during two-stage anodization process", Proc. SPIE 9519, Nanotechnology VII, 951910 (1 June 2015); doi: 10.1117/12.2179418; https://doi.org/10.1117/12.2179418

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