Quantitative phase field simulations of polycrystalline solidification using a vector order parameter

A vector order parameter phase field model derived from a grand potential functional is presented as an alternative approach for modeling polycrystalline solidification of alloys. In this approach, the density designed to contain discrete set finite wells, feature that naturally allows growth and controlled interaction multiple grains using single field. We verify dendritic in binary alloys follows well-established quantitative behavior thin interface limit. addition, it shown grain boundary energy solute back-diffusion are quantitatively consistent with earlier theoretical work, being through simple solid-solid parameter. Moreover, when considering aggregates their coarsening, we show kinetics follow expected parabolic law. Finally, demonstrate how can be used describe nucleation systems via thermal fluctuations parameter, process cannot treated consistently multiphase or multi-order-parameter based models. The serves practical efficient computational tool simulating materials. also discuss extension higher dimensions method solid phases.