Different patterns can be created on the surface of growing crystals, among which the step
bunches and/or step meanders are two of the most studied. The Ehrlich–Schwoebel effect at …

The growth of a crystal is usually determined by its surface. Many factors influence the
growth dynamics. Energy barriers associated with the presence of steps most often decide …

In order to study the unstable step motion on vicinal crystal surfaces we devise vicinal
Cellular Automata. Each cell from the colony has value equal to its height in the vicinal …

Cellular automata are simple discrete deterministic rules that can however produce different,
from simple to very complex, dynamics, and it would be useful to have a criterion to classify …

The effect of step–step exclusion on growing vicinal surfaces destabilized by a step-up (SU)
or step-down (SD) driving force is extensively studied in diffusion-limited (DL) and kinetics …

The novelty of this paper is the study of emergence of diffusion-induced (Turing-like)
patterns from a microscopic point of view, namely, in terms of cellular automata. Formally …

In order to optimize a computer implementation of the recursion method,(initially proposed
by Heine, Haydock and Kelly), we build a cluster from an initial seed of points by adjoining …

Cellular automata models for the formation of Liesegang structures are proposed. This novel
approach, which takes into account the fluctuations for the first time, describes the problem …

We derive a set of algorithms for simulating the diffusion-limited growth of faceted crystals
using local cellular automata. This technique has been shown to work well in reproducing …

The growth of real valued cellular automata using a deterministic algorithm on 2-
dimensional quasicrystalline structures is investigated. Quasicrystals are intermediate …