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Interface control and snow crystal growth
Published 8 May 2015 in math-ph, cond-mat.mtrl-sci, math.AP, and math.MP | (1505.02042v1)
Abstract: The growth of snow crystals is dependent on the temperature and saturation of the environment. In the case of dendrites, Reiter's local two-dimensional model provides a realistic approach to the study of dendrite growth. In this paper we obtain a new geometric rule that incorporates interface control, a basic mechanism of crystallization that is not taken into account in the original Reiter's model. By defining two new variables, growth latency and growth direction, our improved model gives a realistic model not only for dendrite but also for plate forms.
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