Physically Derived Rulesfor Simulating Faceted Crystal Growth using Cellular Automata
Materials Science
2008-07-17 v1
Abstract
We derive a set of algorithms for simulating the diffusion-limited growth of faceted crystals using local cellular automata. This technique has been shown to work well in reproducing realistic crystal morphologies, and the present work provides a more rigorous physical foundation that connects the numerical code to the physics of attachment kinetics and diffusion dynamics. We then apply these algorithms to examine a novel morphological transition in the growth of thin plate-like crystals.
Cite
@article{arxiv.0807.2616,
title = {Physically Derived Rulesfor Simulating Faceted Crystal Growth using Cellular Automata},
author = {Kenneth G. Libbrecht},
journal= {arXiv preprint arXiv:0807.2616},
year = {2008}
}