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Crossover Scaling in Dendritic Evolution at Low Undercooling

Nikolas Provatas, Nigel Goldenfeld, Jonathan Dantzig, Jeffrey C. LaCombe, Afina Lupulescu, Matthew B. Koss, Martin E. Glicksman

cond-mat.mtrl-sciarXiv:cond-mat/9812108

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.

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