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Numerical Simulation of Diffusion Controlled Surface Evolution

Published online by Cambridge University Press:  15 February 2011

Cheng-Hsin Chiu
Affiliation:
Division of Applied Mechanics, Stanford University, CA 94305.
Huajian Gao
Affiliation:
Division of Applied Mechanics, Stanford University, CA 94305.
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Abstract

As a model for Stranski-Krastanow island formation in strained heteroepitaxial layers, this paper investigates the surface-diffusion controlled morphological evolution of a two dimensional semi-infinite solid loaded in the lateral direction. Numerical Methods are developed to simulate the surface diffusion process, and examples are presented to demonstrate three distinct evolution patterns which are characterized by two critical wavelengths. The results show that, according to the wavelength, a slightly wavy surface can evolve into a cusped, a smoothly undulating, or a flat configuration. The diffusion wavelength and cusp-formation time compare favorably with recent experimental observations.

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Type
Research Article
Copyright
Copyright © Materials Research Society 1994

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