Multifractal phenomena in physics and chemistry Page 1 NATURE VOL. 335 29 SEPTEMBER
1988 REVIEW ARTICLE 495 Multifractal phenomena in physics and chemistry H. Eugene …

Anomalous scaling laws appear in a wide class of phenomena where global dilation
invariance fails. In this case, the description of scaling properties requires the introduction of …

We propose a description of normalized distributions (measures) lying upon possibly fractal
sets; for example those arising in dynamical systems theory. We focus upon the scaling …

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 …

Fractals and disordered systems have recently become the focus of intense interest in
research. This book discusses in great detail the effects of disorder on mesoscopic scales …

We describe in detail an efficient algorithm for studying site or bond percolation on any
lattice. The algorithm can measure an observable quantity in a percolation system for all …

We present a new Monte Carlo algorithm for studying site or bond percolation on any lattice.
The algorithm allows us to calculate quantities such as the cluster size distribution or …

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

We review theoretical and experimental studies of the AC dielectric response of
inhomogeneous materials, modelled as bond percolation networks, with a binary (conductor …

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 …