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 we propose and analyze a second order accurate (in time) numerical scheme
for the square phase field crystal equation, a gradient flow modeling crystal dynamics at the …

Phase-field crystal (PFC) is a model with atomistic-scale details acting on diffusive time
scales. PFC uses the density field as its order parameter, which takes a constant value in the …

In this paper we propose and analyze an energy stable numerical scheme for the square
phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic …

We introduce and characterize free-energy functionals for modeling of solids with different
crystallographic symmetries within the phase-field-crystal methodology. The excess free …

Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …

Phase field crystal (PFC) theory is extensively used for modeling the phase behavior,
structure, thermodynamics, and other related properties of solids. PFC theory can be derived …

The world of two-dimensional crystals is of great significance for the design and study of
structural and functional materials with novel properties. Here we examine the mechanisms …

This paper introduces a new structural phase field crystal (PFC) type model that expands the
PFC methodology to a wider class of structurally complex crystal structures than previously …

In this paper we analyze and implement a second-order-in-time numerical scheme for the
three-dimensional phase field crystal (PFC) equation. The numerical scheme was proposed …