Interface control and snow crystal growth
Mathematical Physics
2016-02-17 v1 Materials Science
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.1505.02042,
title = {Interface control and snow crystal growth},
author = {Jessica Li and Laura P. Schaposnik},
journal= {arXiv preprint arXiv:1505.02042},
year = {2016}
}
Comments
9 pages, 14 figures. Comments are most welcomed!