Abstract

We derive an infinite hierarchy of integral equations for the connectedness functions in a general class of continuum-random-percolation models. This hierarchy is similar, and in some cases identical, to the Born-Bogoliubov-Green-Kirkwood-Yvon hierarchy that is well known in the theory of fluids. The structure of these equations is discussed as well as that of the Kirkwood superposition approximation used to impose a closure on the hierarchy.

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