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.
Inhaltsverzeichnis
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.
