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The dynamics of dendritic growth of a crystal in an undercooled melt is
determined by macroscopic diffusion-convection of heat and by capillary forces
acting on the nanometer scale of the solid-liquid interface width.
Its modelling is useful for instance in processing techniques based on casting.
The phase-field method is widely used to study evolution of such microstructural phase transformations on
a continuum level; it couples the energy equation to a phenomenological Allen-Cahn/Ginzburg-Landau
equation...
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