# Physically Derived Rulesfor Simulating Faceted Crystal Growth using Cellular Automata

Source: [Physically Derived Rulesfor Simulating Faceted Crystal Growth using Cellular Automata](<https://www.sota2.com/research/paper/68fa21c57a2b558e29338f2d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:17.490Z

Authors: Kenneth G. Libbrecht

Published: 2008-07-16T17:55:12.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0807.2616>)

[PDF](<https://arxiv.org/pdf/0807.2616.pdf>)