The determination of the maximal packing arrangements of two-dimensional, binary hard disks of radii RS and RL (with RS⩽RL) for sufficiently small RS amounts to finding the optimal arrangement of the small disks within a tricusp: the nonconvex cavity between three close-packed large disks. We...

One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of...

Recent progress that we have made on the problem of determining the effective properties of random heterogeneous media from the morphology is reviewed. A variety of different effective properties are considered, including the electrical conductivity and elastic moduli of composites, time scales...

We will review recent progress in our understanding of classical transport in porous media. Theoretical concepts will be illustrated with two distinct kinds of calculations. The first involve the grain consolidation model and are based on a particular multisize packing of spherical grains. The...