Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 226, Issue 1, Pages 95-105Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2006.11.004
Keywords
nanoscale pore growth; evolution equations; instability; pattern formation; Kuramoto-Sivashinsky equation
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This paper predicts the evolution of nanopores during anodic oxidation of aluminum. The theory is based on approximate nonlinear evolution equations of the interfaces, which reproduce all the observed patterns, and using them for stability analysis. The pore structure in the early stages is described by the Damped Kuramoto-Sivashinsky (DKS) equation, which predicts hexagonal patterns with points and line defects, in agreement with experimental observations of the evolving pores. This is the first work to follow pore dynamics. Comparison with asymptotic constant-thickness and -curvature solutions is conducted. (c) 2006 Elsevier B.V. All rights reserved.
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