Cell and Random-Field Models

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.