Modeling snow crystal growth II: A mesoscopic lattice map with plausible dynamics |
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Authors: | Janko Gravner David Griffeath |
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Affiliation: | a Mathematics Department, University of California, Davis, CA 95616, United States b Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States |
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Abstract: | We present a local lattice model for the evolution of snow crystals that combines diffusion-limited aggregation with anisotropic attachment kinetics and an idealized quasi-liquid layer. Despite a voluminous modeling literature, this is apparently the first approach that successfully captures the essential form of core and tip instabilities, branch faceting, and other aspects of real snow crystal growth. As parameters are varied, our nearest neighbor system reproduces the basic features of most of the observed varieties of planar snowflakes and offers new insights into their genesis. |
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Keywords: | Coupled lattice map Crystal growth Diffusion-limited aggregation Stefan problem |
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