Physically Derived Rulesfor Simulating Faceted Crystal Growth using Cellular Automata

Physics – Condensed Matter – Materials Science

Scientific paper

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Scientific paper

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.

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