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

doi:10.1103/physrevlett.82.4496

arXiv · cond-mat/9812108

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

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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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Nikolas Provatas, Nigel Goldenfeld, Jonathan Dantzig, Jeffrey C. LaCombe, Afina Lupulescu, Matthew B. Koss, Martin E. Glicksman. 1999-05-10. Crossover Scaling in Dendritic Evolution at Low Undercooling. https://doi.org/10.1103/physrevlett.82.4496

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