Article ID Journal Published Year Pages File Type
1897297 Physica D: Nonlinear Phenomena 2008 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,