Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …

We review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

An adaptive BDF2 implicit time-stepping method is analyzed for the phase field crystal
model. The suggested method is proved to preserve a modified energy dissipation law at the …

Availability of a reliable interatomic potential is one of the major challenges in utilizing
molecular dynamics (MD) for simulations of metals at near the melting temperatures and …

In this paper, molecular dynamics (MD) simulations based on the modified-embedded atom
method (MEAM) and a phase-field crystal (PFC) model are utilized to quantitatively …

A multiphase field model is developed to study the effects of metastable ζ and γ hydrides on
the nucleation and growth of the stable δ hydrides in α zirconium matrix. The model …

The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential
equation, has generated considerable interest as a possible solution to problems arising in …

Ideal minimum-energy grain boundary (GB) structures are usually the only ones considered
when characterizing GBs. This limited perspective provides an incomplete view of the …

Homogeneous crystal nucleation is prone to formation of defects and often experiences
heterogeneities, the inferences of which are crucial in processing crystalline materials and …

In this paper, we propose four time marching schemes for the two-mode phase field crystal
equation with the periodic boundary condition. The first-and second-order schemes are …