Abstract
Wertheim’s dual density formalism is applied to study the percolation behavior of dimerizing permeable spheres. The model is that of permeable spheres introduced by Blum and Stell as a generalized potential having ideal-gas (randomly centered) spheres as one limit and Percus–Yevick hard spheres as the other. Both thermodynamic results (pressure and site–site pair-correlation functions) and connectivity results (percolation threshold and site–site pair-connectedness functions) are determined for mixtures of dumbbells and spheres as a function of the penetrability factor ε, the bond length L and the fraction x1 of spheres forming dumbbells. A critical bond length L=0.553 was found for which the percolation threshold is independent of the amount of dimerization.
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