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Pattern formation and non-linear stability analysis of two-component nano-self-assembled epilayers on a substrate

G. Nathan, G. Gunaratne and F. Hussain
University of Houston, US

Keywords:
patterns, stability, self-assembly

Abstract:
In this paper, we present a detailed nonlinear analysis of pattern formation in a two-component epilayer on a semi-infinite substrate. We set up the theoretical framework in terms of the Cahn-Hilliard Equation with a surface stress term (along the lines of Suo, Lu 1999). The patterns are then analyzed and their stability regions determined using non-linear stability analysis. Furthermore, we classify the complexity of these patterns using a Hessian-based complexity measure (Nathan and Gunaratne, PRE, 2005).

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