Kenneth A. Hawick
Epitaxial growth, morphology, trees, surface growth
The identification and control of morphological variations in surface growth models are important aspects to understand, with applications including electro-deposition and coatings. We develop a surface growth model based on directed-diffusion and controlled by a single parameter -- the Peclet number. We present: a fractal-scaling analysis; structural morphology measurements; and component tree-count and root-count results from extensive simulations. We identify a phase transition in the Peclet number at around 0.75 - 1.0 which appears to be linked to morphological variations. We offer a possible explanation for based on percolation effects and suggest some extensions to the model for studying related surface growth systems. We also present some 3-D renderings of the model internal structures.
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