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A local cellular model for snow crystal growth

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  • Reiter, Clifford A.

Abstract

Snow crystals have a rich diversity of forms with striking hexagonal symmetry. The two-dimensional types include dendrite, stellar, sector and plate forms. Physical studies have shown that the particular form of a snow crystal is dependent upon the temperature and saturation in the growth environment. We investigate a simple, local, two-dimensional model that has just two parameters exhibiting the desired diversity. The dendrite growth is especially realistic. We use the model to investigate the impact of varying conditions of growth.

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  • Reiter, Clifford A., 2005. "A local cellular model for snow crystal growth," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1111-1119.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1111-1119
    DOI: 10.1016/j.chaos.2004.06.071
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    References listed on IDEAS

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    1. Sakaguchi, Hidetsugu & Ohtaki, Masako, 1999. "A coupled map lattice model for dendritic patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 300-313.
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    Cited by:

    1. Moghari, Somaye & Ghorani, Maryam, 2022. "A symbiosis between cellular automata and dynamic weighted multigraph with application on virus spread modeling," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Ko, Jing-Yuan & Hung, Yao-Chen & Ho, Ming-Chung & Jiang, I-Min, 2008. "Chaotic behavior in the disorder cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 934-939.
    3. Chidyagwai, Prince & Reiter, Clifford A., 2005. "A local cellular model for growth on quasicrystals," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 803-812.
    4. Butusov, Denis N. & Karimov, Artur I. & Pyko, Nikita S. & Pyko, Svetlana A. & Bogachev, Mikhail I., 2018. "Discrete chaotic maps obtained by symmetric integration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 955-970.

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