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Morphology of Condensed Matter

Physics and Geometry of Spatially Complex Systems

  • Book
  • © 2002

Overview

Editors:
  1. Klaus Mecke

    1. Max-Planck-Institut für Metallforschung, Stuttgart, Germany

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  2. Dietrich Stoyan

    1. Fakultät für Mathematik und Informatik Institut für Stochastik, TU Bergakademie Freiberg, Freiberg, Germany

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  • Bridges the gap between standard textbook material and research-level publication
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 600)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Complex Structured Condensed Matter

    1. Spatial Statistics and Micromechanics of Materials

      • Dominique Jeulin
      Pages 3-36

    2. Characterising the Morphology of Disordered Materials

      • Christoph H. Arns, Mark A. Knackstedt, Klaus R. Mecke
      Pages 37-74

    3. Topological Characterization of Porous Media

      • Hans-Jörg Vogel
      Pages 75-92

    4. Nanotomography: Real-Space Volume Imaging with Scanning Probe Microscopy

      • Robert Magerle
      Pages 93-106

    5. Bicontinuous Surfaces in Self-assembling Amphiphilic Systems

      • Ulrich Schwarz, Gerhard Gompper
      Pages 107-151

    6. Morphology of Langmuir Monolayer Phases

      • Mathias Lösche, Peter Krüger
      Pages 152-171

    7. Spatial Order in Liquid Crystals: Computer Simulations of Systems of Ellipsoids

      • Friederike Schmid, Nguyen H. Phuong
      Pages 172-186

    8. Two-Dimensional Fluid Foams at Equilibrium

      • François Graner
      Pages 187-211

  3. Spatial Statistics and Morphology

    1. Morphological Texture Analysis: An Introduction

      • Pierre Soille
      Pages 215-237

    2. Vector- and Tensor-Valued Descriptors for Spatial Patterns

      • Claus Beisbart, Robert Dahlke, Klaus Mecke, Herbert Wagner
      Pages 238-260

    3. Computational Topology for Point Data: Betti Numbers of α-Shapes

      • Vanessa Robins
      Pages 261-274

    4. The Euler Number of Discretized Sets — On the Choice of Adjacency in Homogeneous Lattices

      • Joachim Ohser, Werner Nagel, Katja Schladitz
      Pages 275-298

    5. Shape Statistics for Random Domains and Particles

      • Dietrich Stoyan, Ashot Davtyan, Daulet Turetayev
      Pages 299-316

    6. A Survey on Contact Distributions

      • Daniel Hug, Günter Last, Wolfgang Weil
      Pages 317-357

    7. Mark Correlations: Relating Physical Properties to Spatial Distributions

      • Claus Beisbart, Martin Kerscher, Klaus Mecke
      Pages 358-390

    8. Spatial Jump Processes and Perfect Simulation

      • Kasper K. Berthelsen, Jesper Møller
      Pages 391-417

    9. Statistics for Non-sparse Spatially Homogeneous Gibbs Point Processes

      • Gunter Döge, Dietrich Stoyan
      Pages 418-427

    10. Spatial Statistics of a Turbulent Random Multiplicative Branching Process

      • Martin Greiner
      Pages 428-433

  4. Back Matter

    Pages 435-439
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Keywords

About this book

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.

Reviews

"In short, this book presents a state of art description of a rapidly growing area of research. Undoubtedly it will be a good reference for the specialists working in soft condensed matter science." (The Physicist, 40/5, 2003)

Editors and Affiliations

  • Max-Planck-Institut für Metallforschung, Stuttgart, Germany

    Klaus Mecke

  • Fakultät für Mathematik und Informatik Institut für Stochastik, TU Bergakademie Freiberg, Freiberg, Germany

    Dietrich Stoyan

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