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Dendritic crystallization: Numerical study of the one-sided model
Phys. Rev. Lett. 58, 1541 – Published 13 April, 1987
DOI: https://doi.org/10.1103/PhysRevLett.58.1541
Abstract
Dendritic growth of crystals in two dimensions is analyzed by a Green’s-function method. A one-sided diffusional model is treated in quasistationary approximation. Anisotropy is found necessary for dendritic growth. We find scaling with anisotropy to be in agreement with recent results for needle crystals in the symmetric model. For fixed anisotropy the growth rate is proportional to the square of the Peclet number. The side-branch pattern is in qualitative agreement with experiments in three dimensions for different anisotropies.
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