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

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 …

In this paper the relationship between the classical density functional theory of freezing and
phase-field modeling is examined. More specifically a connection is made between the …

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 …

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

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 …

The phase-field-crystal model is by now widely used in order to predict crystal nucleation
and growth. For colloidal solidification with completely overdamped individual particle …

We introduce a modified phase field crystal (MPFC) technique that self-consistently
incorporates rapid strain relaxation alongside the usual plastic deformation and multiple …

The fundamental dislocation processes of glide, climb, and annihilation are studied on
diffusive time scales within the framework of a continuum field theory, the phase field crystal …