A local cellular model for snow crystal growth

@article{Reiter2005ALC,
  title={A local cellular model for snow crystal growth},
  author={C. Reiter},
  journal={Chaos Solitons & Fractals},
  year={2005},
  volume={23},
  pages={1111-1119}
}
  • C. Reiter
  • Published 2005
  • Mathematics
  • Chaos Solitons & Fractals
  • 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… CONTINUE READING
    53 Citations

    Figures from this paper.

    A cellular model for three-dimensional snow crystallization
    • 8
    A Cellular Model for 3-Dimensional Snow Crystallization
    • 1
    • Highly Influenced
    • PDF
    Interface control and snow crystal growth.
    • 4
    • Highly Influenced
    • PDF
    Modeling snow-crystal growth: a three-dimensional mesoscopic approach.
    • 55
    • PDF
    Numerical computations of faceted pattern formation in snow crystal growth.
    • 44
    • PDF
    Incorporating Surface Diffusion into a Cellular Automata Model of Ice Growth from Water Vapor
    • 4
    • PDF
    Physically Derived Rules for Simulating Faceted Crystal Growth using Cellular Automata
    • 18
    • PDF

    References

    SHOWING 1-10 OF 14 REFERENCES
    Development of side branching in dendritic crystal growth.
    • 120
    Mean shape of three-dimensional dendrites: A comparison of pivalic acid and ammonium chloride.
    • Dougherty, Gunawardana
    • Physics, Medicine
    • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
    • 1994
    • 11
    • PDF
    A coupled map lattice model for dendritic patterns
    • 17
    Steady-state dendritic growth of NH4Br from solution.
    • 79
    • PDF
    Study of phase-separation dynamics by use of cell dynamical systems. II. Two-dimensional demonstrations.
    • Puri, Oono
    • Physics, Medicine
    • Physical review. A, General physics
    • 1988
    • 177
    The Snowflake : Winter's Secret Beauty
    • 24
    A new kind of science
    • 2,648
    • PDF
    Theory and Applications of Cellular Automata
    • 1,548
    Boolean hexagonal automata
    • Comput Graph
    • 2003
    Coupled-map lattice model for crystal growth.
    • 20