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 …

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 …

Active field theories, such as the paradigmatic model known as 'active model B+', are simple
yet very powerful tools for describing phenomena such as motility-induced phase …

We introduce a dislocation density tensor and derive its kinematic evolution law from a
phase field description of crystal deformations in three dimensions. The phase field crystal …

The phase-field crystal model in an amplitude equation approximation is shown to provide
an accurate description of the deformation field in defected crystalline structures, as well as …

Classical dynamical density functional theory (DDFT) has become one of the central
modeling approaches in nonequilibrium soft matter physics. Recent years have seen the …

We discuss an active phase field crystal (PFC) model that describes a mixture of active and
passive particles. First, a microscopic derivation from dynamical density functional theory is …

Matter self-assembling into layers generates unique properties, including structures of
stacked surfaces, directed transport, and compact area maximization that can be highly …

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 …

Most field theories for active matter neglect effects of memory and inertia. However, recent
experiments have found inertial delay to be important for the motion of self-propelled …