Computational Science Technical Note CSTN-107


Morphology and Epitaxial Growth in a Directed Diffusion Model

K. A. Hawick

Archived December 2009, Revised September 2010


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 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.

Keywords: epitaxial growth; morphology; trees; surface growth; directed diffusion.

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSTN Notes.

BiBTeX reference:

  author = {K.A. Hawick},
  title = {Morphology and Epitaxial Growth in a Directed Diffusion Model},
  booktitle = {Proc. International Conference on Modelling, Identification, and
	Control (MIC2011)},
  year = {2011},
  pages = {110-117},
  address = {Innsbruck, Austria},
  month = {14-16 February},
  publisher = {IASTED},
  doi = {10.2316/P.2011.718-024},
  institution = {Computer Science, Massey University},
  timestamp = {2009.12.16}

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