Morphology of Condensed Matter

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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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.

• Helium-Atom-Streuung
• STATISTICA
• composite material
• composite materials
• condensed matter
• correlation
• crystal
• distribution
• liquid
• mechanics
• microscopy
• morphology
• set
• statistical physics
• statistics

"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)

• 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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