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; Robert Almgren

doi:10.1103/PhysRevLett.82.4496

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, and Robert Almgren

Phys. Rev. Lett. 82, 4496 – Published 31 May 1999

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-affine evolution in both the experiments and simulations. We find that the time-dependent scaling of our low undercooling simulations displays a crossover scaling from a regime different than that characterizing Laplacian growth to steady-state growth.

Received 10 November 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.4496

Authors & Affiliations

Nikolas Provatas^1,2, Nigel Goldenfeld¹, and Jonathan Dantzig²

¹Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801
²Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, Illinois 61801

Jeffrey C. LaCombe, Afina Lupulescu, Matthew B. Koss, and Martin E. Glicksman