Phase-field crystal method for multiscale microstructures with cubic term

One mode phase-field crystal model is introduced to describe morphological transition in the presence of a cubic term. The application of the field leads to a comprehensive pattern formation with stripe, triangular and liquid phases. Combining with amplitude phase-field crystal model, some steady solution of amplitudes and wave number are easily obtained. The convergence between growth morphology and size domain is investigated. The results indicate that the parameter of cubic term is important to the crystalline phase, especially the triangular phase, in the 2D phase diagrams and it can obtain different crystal shapes by the point from 2D phase diagram. The competition growth of multi grains on larger square computational domain was also investigated. In addition, the method can be extended to other solidification microstructures.