The concept of tortuosity is used to characterize the structure of porous media, to estimate
their electrical and hydraulic conductivity, and to study the travel time and length for tracer …

A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

Suppose we immerse a large porous stone in a bucket of water. What is the probability that
the centre of the stone is wetted? In formulating a simple stochastic model for such a …

Diffusion in disordered systems does not follow the classical laws which describe transport
in ordered crystalline media, and this leads to many anomalous physical properties. Since …

In normal lateral diffusion, the mean-square displacement of the diffusing species is
proportional to time. But in disordered systems anomalous diffusion may occur, in which the …

We discuss the concept of discrete-scale invariance and how it leads to complex critical
exponents (or dimensions), ie to the log-periodic corrections to scaling. After their initial …

Jahre 1977 und Les objects fractals: forme, hasard et dimension aus dem Jahre 1975.
Jedesmal wur-den fast alle Abschnitte neu geschrieben und–ne-ben einigen wenigen …

This article describes the advances that have been made over the past ten years on the
problem of fracton excitations in fractal structures. The relevant systems to this subject are so …

Small-angle neutron scattering from silica aerogels reveals that they form mutually self-
similar volume fractals for a wide range of densities and preparations. The fractal dimension …

The electrical conductivity of a composite model system formed by highly structured carbon
black (CB) filled, within an amorphous polymer, poly (ethylene terephtalate) composite is …