Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

One characteristic feature of soft matter systems is their strong response to external stimuli.
As a consequence they are comparatively easily driven out of their ground state and out of …

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

Recent advances in classical density functional theory are combined with stochastic process
theory and rare event techniques to formulate a theoretical description of nucleation …

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 …

We review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

The study of active soft matter has developed into one of the most rapidly growing areas of
physics. Field theories, which can be developed either via phenomenological …

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 …

The phase field crystal (PFC) method is a promising technique for modeling materials with
atomic resolution on mesoscopic time scales. While numerically more efficient than classical …

Spatial localization is a common feature of physical systems, occurring in both conservative
and dissipative systems. This article reviews the theoretical foundations of our …