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Cell and Random-Field Models

  • Salvatore Torquato
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 16)

Abstract

There is a vast class of random heterogeneous materials whose microstructures cannot be modeled as a distribution of inclusions or cavities of well-defined shape in a matrix. This classification includes animal and plant tissue (which have a cellular structure), bone, foams, froths, polycrystals, block copolymers, and microemulsions, to mention but a few examples. In this chapter we will consider analytical methods to characterize the microstructure of two different nonparticulate models: cell and random-field models. For simplicity, we focus primarily on the determination of the n-point probability functions for these models.

Keywords

Ising Model Voronoi Cell Voronoi Tessellation Gaussian Random Field Random Sequential Addition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Salvatore Torquato
    • 1
  1. 1.Department of Chemistry and Princeton Materials InstitutePrinceton UniversityPrincetonUSA

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