Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys

Abstract

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.

arXiv comment4 pages, four figures, submitted to Physical Review Letters

References in corpus (6)

• Phase-Field Formulation for Quantitative Modeling of Alloy Solidification
• Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement
• Adaptive Mesh Refinement Computation of Solidification Microstructures using Dynamic Data Structures
• Sharp interface limits of phase-field models
• Quasiperiodic Tip Splitting in Directional Solidification
• Crossover Scaling in Dendritic Evolution at Low Undercooling

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