The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas.

Inhalt

Complex Structured Condensed Matter.- Spatial Statistics and Micromechanics of Materials.- Characterising the Morphology of Disordered Materials.- Topological Characterization of Porous Media.- Nanotomography: Real-Space Volume Imaging with Scanning Probe Microscopy.- Bicontinuous Surfaces in Self-assembling Amphiphilic Systems.- Morphology of Langmuir Monolayer Phases.- Spatial Order in Liquid Crystals: Computer Simulations of Systems of Ellipsoids.- Two-Dimensional Fluid Foams at Equilibrium.- Spatial Statistics and Morphology.- Morphological Texture Analysis: An Introduction.- Vector- and Tensor-Valued Descriptors for Spatial Patterns.- Computational Topology for Point Data: Betti Numbers of ?-Shapes.- The Euler Number of Discretized Sets - On the Choice of Adjacency in Homogeneous Lattices.- Shape Statistics for Random Domains and Particles.- A Survey on Contact Distributions.- Mark Correlations: Relating Physical Properties to Spatial Distributions.- Spatial Jump Processes and Perfect Simulation.- Statistics for Non-sparse Spatially Homogeneous Gibbs Point Processes.- Spatial Statistics of a Turbulent Random Multiplicative Branching Process.