Nonequilibrium phase transitions Disordered structures and stochastic geometry Planar random cellular structures are considered, which have been observed in various systems as soap froths, cuts of biological tissues and metallurgical aggregates or constructed from sets of randomly distributed points by means of the Voronoi construction. Most importantly, these methods are applied to experimental and numerical data in order to elucidate the mutual influence of apparent spatial structure and uunderlying physical mechanisms. Voronoi tessellations of intermittent point fields By relating topological and metrical properties of Voronoi mosaic generated from 'fractal' point distributions new scaling relations are conjectured and supported by numerical simulations. Properties of electronic spectra in topologically disordered media Properties of electronic spectra change drastically as soon as topological disorder is present.
Level repulsion is observed.
The degree of disorder, however, seems to play a secondary role.