English

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.

Keywords

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!

R2 v1 2026-06-22T09:30:27.221Z