Stability of hexagonal solidification patterns
Materials Science
2009-11-07 v2
Abstract
We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary instabilities of regular hexagonal arrays and find that the stability boundaries depend significantly on the strength of crystalline anisotropy. We also find multiplet states that can be reached by applying well-defined perturbations to a pre-existing hexagonal array.
Cite
@article{arxiv.cond-mat/0207314,
title = {Stability of hexagonal solidification patterns},
author = {Mathis Plapp and Marcus Dejmek},
journal= {arXiv preprint arXiv:cond-mat/0207314},
year = {2009}
}
Comments
Minor changes, mainly in introduction and conclusion, one reference added