Cell and Random-Field Models

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


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.


Ising Model Voronoi Cell Voronoi Tessellation Gaussian Random Field Random Sequential Addition 


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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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