Here, we review the basic concepts and applications of the phase-field-crystal (PFC)
method, which is one of the latest simulation methodologies in materials science for …

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 …

New perspectives on the phase field approach in modeling deformation and fracture at the
fundamental defect level are reviewed. When applied at sub-angstrom length scales the …

The dynamics of phase field crystal (PFC) modeling is derived from dynamical density
functional theory (DDFT), for both single-component and binary systems. The derivation is …

We examine the influence of different forms of the free-energy functionals used in the phase-
field-crystal (PFC) model, and compare them with the second-order density-functional theory …

The phase field crystal equation has been recently put forward as a model for microstructure
evolution of two-phase systems on atomic length and diffusive time scales. The theory is cast …

Amplitude representations of a binary phase-field-crystal model are developed for a two-
dimensional triangular lattice and three-dimensional bcc and fcc crystal structures. The …

Recent advances in improving the computational efficiency of the phase-field simulations of
solidification microstructures are reviewed. The parallel progress of four typical approaches …

Tungsten, the material used in the plasma-facing components (PFCs) of nuclear fusion
reactors, develops a fuzz-like surface morphology under typical reactor operating conditions …

We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model
of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and …