Comprehensive investigations of crystalline systems often require methods bridging
atomistic and continuum scales. In this context, coarse-grained mesoscale approaches are …

We study the effects of thermal fluctuations and pinned boundaries in graphene membranes
by using a phase-field crystal model with out-of-plane deformations. For sufficiently long …

The formation and dynamics of a wide variety of binary two-dimensional ordered structures
and superlattices are investigated through a phase field crystal model with sublattice …

We study the dynamical behavior of the mean-square displacement of height fluctuations of
freestanding graphene using a phase-field-crystal model introduced recently. We find that …

One of the major difficulties in employing phase-field crystal (PFC) modeling and the
associated amplitude (APFC) formulation is the ability to tune model parameters to match …

Multiscale microscopy spanning the atomistic, moiré, and meso scales has enabled
engineering the equilibrium structure of graphene. However, temporal restrictions on in …

A computational method is developed for the study of mechanical response and fracture
behavior of phase field crystals (PFC), to overcome a limitation of the PFC dynamics which …

Graphene is well known for its extraordinary mechanical properties combining brittleness
and ductility. While most mechanical studies of graphene focused on the strength and brittle …

This paper introduces improvements to an amplitude expansion of the phase-field-crystal
model. An auxiliary field describing local grain rotation is introduced and used to enable the …

Atomistically thin adsorbate layers on surfaces with a lattice mismatch display complex
spatial patterns and ordering due to strain-driven self-organization. In this work, a general …