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We introduce a two-point cluster function C 2 (C I ,C 2 ) which reflects information about clustering in general continuum-percolation models. Specifically, for any two-phase disordered medium, C 2 (C I ,C 2 ) gives the probability of finding both points C I and C 2 in the same cluster of one of the phases. For distributions of identical inclusions whose coordiantes are fully specified by centec-of-mass positions (e.g., disks, spheres, oriented squares, cubes, ellipses, or ellipsoids, etc.), we obtain a series representation of C 2 which enables one to compute the two-point cluster function. Some general asymptotic properties of C 2 for such models are discussed. The two-point cluster function is then computed for the adhesive-sphere model of Baxter. The twopoint cluster function for arbitrary media provides a better signature of the microstructure than does a commonly employed two-point correlation function defined in the text.(2.3)We term C 2 , the quantity of interest here, the "two-point cluster fUnction."IQ,11 Definition (2.2) applies to two-phase random media of arbitrary microstructure. 6540

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