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- W2048629259 abstract "A previously derived expression for the specific surface area of a dispersion of mutually penetrable spheres or pores is generalized for the calculation of the length of sphere–sphere intersections (lines common to two pores) and the number of cusps (points common to three pores). The results are in the form of alternating series involving correlation functions of successively higher order. Closed-form expressions are obtained for the case of randomly centered spheres. For a porous material with number density ρ of spherical pores of radius a, the length of pore–pore intersections per unit volume is 2π3a4ρ2 exp(−4πa3ρ/3) and the number of cusps per unit volume is (4)/(3) π4a6ρ3 exp(−4πa3ρ/3). The analysis is also extended to the general case of dispersions of hyperspheres in d dimensions." @default.
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- W2048629259 date "1992-08-01" @default.
- W2048629259 modified "2023-09-26" @default.
- W2048629259 title "The length of intersection lines and the number of cusps in assemblies of interpenetrating spheres" @default.
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- W2048629259 doi "https://doi.org/10.1063/1.463962" @default.
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