Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys

Details Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys

2004-03-21

arxiv.org/abs/cond-mat/0403533v1

Physics

Condensed Matter

Materials Science

4 pages, four figures, submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.93.246101

We simulate dendritic growth in directional solidification in dilute binary alloys using a phase-field model solved with an adaptive-mesh refinement. The spacing of primary branches is examined for a range of thermal gradients and alloy compositions and is found to undergo a maximum as a function of pulling velocity, in agreement with experimental observations. We demonstrate that wavelength selection is unambiguously described by a non-trivial crossover scaling function from the emergence of cellular growth to the onset of dendritic fingers, a result validated using published experimental data.

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