Analysis demonstrates solidification patterns of dendritic tips and primary stem structures, suggesting morphological models may improve understanding.
The shape of dendritic tips for rapid nonequilibrium solidification is studied based on the Geometrically Morphological Theory (Toropova et al. in Acta Mater 296:121232, 2025; Alexandrov et al. in Phys Lett A 501:129375, 2024) and numerical simulations. The shape function for dendritic tips that takes into account Lorentz-type coordinate transformations is checked against the crystal shapes simulated numerically. This study shows that the dendrite tip, primary stem and external envelope are well-described by Geometrically Morphological Theory with compression-stretching coordinate transformations in the diffusion-limited solidification regime and without these transformations in the kinetic regime.
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Toropova et al. (2025) studied this question.
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