Far from the thermodynamic equilibrium, many precipitation reactions create complex
product structures with fascinating features caused by their unusual origins. Unlike the …

Advances in the orientation-field-based phase-field (PF) models made in the past are
reviewed. The models applied incorporate homogeneous and heterogeneous nucleation of …

Pattern formation is a frequent phenomenon in physics, chemistry, biology, and materials
science. Bottom-up pattern formation usually occurs in the interaction of the transport …

The patterns formed in natural biochemical and geochemical media are never spatially or
geometrically homogeneous. On the other hand, the artificial systems trying to mimic nature …

Self‐organizing diffusion‐reaction systems naturally form complex patterns under far‐from‐
equilibrium conditions. A representative example is the rhythmic concentration pattern of Fe …

In nature, nonequilibrium systems reflect environmental changes, and these changes are
often “recorded” in their solid body as they develop. Periodic precipitation patterns, aka …

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of
patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns …

While biological crystallization processes have been studied on the microscale extensively,
there is a general lack of models addressing the mesoscale aspects of such phenomena. In …

We have analyzed the emerging precipitate pattern of calcium-oxalate in a flow system. The
circular symmetry is broken because of the hydrodynamic instability at the tip of the …

Mineral precipitation can form complex patterns under non‐equilibrium conditions, in which
two representative patterns are rhythmic Liesegang stripes and fractal dendrites …