Crossover Scaling in Dendritic Evolution at Low Undercooling
Materials Science
2009-10-31 v2 Disordered Systems and Neural Networks
Soft Condensed Matter
Abstract
We examine scaling in two-dimensional simulations of dendritic growth at low undercooling, as well as in three-dimensional pivalic acid dendrites grown on NASA's USMP-4 Isothermal Dendritic Growth Experiment. We report new results on self-similar evolution in both the experiments and simulations. We find that the time dependent scaling of our low undercooling simulations displays a cross-over scaling from a regime different than that characterizing Laplacian growth to steady-state growth.
Keywords
Cite
@article{arxiv.cond-mat/9812108,
title = {Crossover Scaling in Dendritic Evolution at Low Undercooling},
author = {Nikolas Provatas and Nigel Goldenfeld and Jonathan Dantzig and Jeffrey C. LaCombe and Afina Lupulescu and Matthew B. Koss and Martin E. Glicksman},
journal= {arXiv preprint arXiv:cond-mat/9812108},
year = {2009}
}