Patterns found at driven interfaces add richness and beauty to the visual world, but they
build processing-history-dependent inhomogeneities into samples of materials whose …

Irreversible fractal-growth models like diffusion-limited aggregation (DLA) and the dielectric
breakdown model (DBM) have confronted us with theoretical problems of a new type for …

We present a mean-field theory for the evolution of RNA virus populations. The theory
operates with a distribution of the population in a one-dimensional fitness space, and is valid …

We develop a novel 'moving-capacitor'dynamic network model to simulate immiscible fluid–
fluid displacement in porous media. Traditional network models approximate the pore …

We present a brief review of the application of boundary integral methods in two dimensions
to multicomponent fluid flows and multiphase problems in materials science. We focus on …

A new model of Laplacian stochastic growth is formulated using conformal mappings. The
model describes two growth regimes, stable and turbulent, separated by a sharp phase …

This monograph presents recent and new ideas arising from the study of problems of planar
fluid dynamics, and which are interesting from the point of view of geometric function theory …

The morphology diagram of possible structures in two-dimensional diffusional growth is
given in the parameter space of undercooling Δ versus anisotropy of surface tension ε. The …

Measurements of fluid motion during thin-layer electrochemical growth reveal that
convection arising from concentration gradients that are transverse to gravity is immediate …

First-order phase transitions take place when a supercritical nucleus of the new phase
grows into the old phase. A conserved quantity typically is transported through the old phase …