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

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 …

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 …

Publisher Summary This chapter discusses several composites or granular or porous
materials that display inhomogeneity on a macroscopic scale. In such materials, there are …

For the critical exponents near the sol-gel phase transition, classical theories like those of
Flory and Stockmayer predict one set of exponents, whereas scaling theories based on …

Complex permittivity and related AC conductivity measurements in the frequency range
between 10− 4 and 107Hz are presented for composites of polycarbonate (PC) filled with …

We consider the quasistatic displacement of a nonwetting fluid by a wetting one in a porous
medium in the presence of buoyancy forces. A simple percolation model of this process is …

Bootstrap percolation (BP) models are systems where sites are initially randomly occupied.
Those sites that do not maintain a suitable local environment of occupied sites are …

Destruction and formation of the carbon nanotube network in polymer melts have been
investigated by a combination of conductivity spectroscopy and dynamic-mechanical …

Dispersion in a porous medium is a consequence of the different flow paths and speeds
which make a range of transit times available to a concentration front or a collection of tracer …