We demonstrate that grain boundaries (GBs) behave as Brownian ratchets, exhibiting
direction-dependent mobilities and unidirectional motion under oscillatory driving forces or …

Topological defects and smooth excitations determine the properties of systems showing
collective order. We introduce a generic non-singular field theory that comprehensively …

The problem of generating microstructures of complex materials in silico has been
approached from various directions including simulation, Markov, deep learning and …

In this article we present, as far as we know, the first numerical investigation of phonon
relaxation in two-dimensional polycrystalline systems simulated with a multitimescale phase …

The phase-field crystal (PFC) model describes crystal lattices at diffusive timescales. Its
amplitude expansion (APFC) can be applied to the investigation of relatively large systems …

In this article, we address the application of phase field crystal (PFC) theory, a hybrid
atomistic-continuum approach, for modeling nanostructure kinetics encountered in laser …

In the simulation of microstructural evolutions, detailed priori knowledge for the model
parameters and initial states is difficult to be observed by experiments. For an improved …

We present a mesoscale description of deformations and defects in thin, flexible sheets with
crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation …

Abstract The Swift–Hohenberg (SH) and phase-field crystal (PFC) models are minimal yet
powerful approaches for studying phenomena such as pattern formation, collective order …

The phase‐field crystal model (PFC) describes crystal structures at diffusive timescales
through a periodic order parameter representing the atomic density. One of its main features …