Crossover Scaling in Dendritic Evolution at Low Undercooling

TL;DR

This paper investigates dendritic growth at low undercooling through simulations and experiments, revealing a crossover in scaling behavior from non-steady to steady-state growth regimes.

Contribution

It provides new insights into the self-similar evolution and crossover scaling in dendritic growth at low undercooling, combining experimental and simulation data.

Findings

Identification of crossover scaling behavior in dendritic growth.

Demonstration of self-similar evolution in experiments and simulations.

Observation of transition from non-steady to steady-state growth regimes.

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.