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 …

Rapid solidification is a relevant physical phenomenon in material sciences, whose
theoretical analysis requires going beyond the limits of local equilibrium statistical physics …

This comprehensive and self-contained, one-stop source discusses phase-field
methodology in a fundamental way, explaining advanced numerical techniques for solving …

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 …

This paper reviews methods and applications of the phase field technique, one of the fastest
growing areas in computational materials science. The phase field method is used as a …

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 …

We investigate the equilibrium properties of bcc-liquid interfaces modeled with a continuum
phase-field crystal (PFC) approach [KR Elder and M. Grant, Phys. Rev. E 70, 051605 …

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 …

Transport processes around phase interfaces, together with thermodynamic properties and
kinetic phenomena, control the formation of dendritic patterns. Using the thermodynamic and …