The phase-field crystal (PFC) method is known as a relatively new continuum approach for
describing the microstructural dynamics of materials during structural and phase transitions …

Using the phase field crystal model (PFC model), an analysis of slow and fast dynamics of
solid-liquid interfaces in solidification and melting processes is presented. Dynamical …

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the
crystalline lattice. To investigate the kinetic anisotropy and velocity of different …

A phase‐field crystal model (PFC model) which takes into account exponential relaxation of
the atomic flux and its fluctuations is developed. The model corresponds to a system …

We introduce a fast solver for the phase field crystal (PFC) and functionalized Cahn-Hilliard
(FCH) equations with periodic boundary conditions on a rectangular domain that features …

The phase‐field model for the description of the solidification processes with the glass‐
crystal competition is suggested. The model combines the first‐order phase transition model …

One of the classes of the kinetic phase-field model in the form of the two-mode hyperbolic
phase-field crystal model (modified PFC model) is used for the study of the noise effect of the …

As opposed to the distributed control of parabolic PDE's, very few contributions currently
exist pertaining to the Dirichlet boundary condition control for parabolic PDE's. This …

We consider an evolution system modeling a flow of colloidal particles which are suspended
in an incompressible fluid and accounts for colloidal crystallization. The system consists of …

A theoretical model is proposed that describes the kinetics of the formation and evolution of
competing phases, one of which is a disordered system of topologically stable excitations …