A deterministic growth process, based on the solution of the lattice Laplace equation for the temperature field, is introduced for modelling pattern formation in dendritic solidification. By a simple parameterisation of the physical and environmental conditions during crystal growth a wide variety of dendritic patterns, similar to regular snowflakes, are produced. The fractal scaling of the dendritic patterns is investigated.
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Family et al. (1987) studied this question.
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