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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.

Suggested Citation

  • 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. 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.
    4. Chidyagwai, Prince & Reiter, Clifford A., 2005. "A local cellular model for growth on quasicrystals," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 803-812.

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