We present the analytical solution of the Percus-Yevick equation for the sticky sphere model in odd D dimensions. Explicit expressions for the direct correlation function c(r) are given for D = 1, 3 and 5. For D = 1 our solution does not agree with the one previously obtained by Tago, Y. and Katsura, S., 1975, Can. J. Phys., 53, 2587, whereas for D = 3 we recover the results of Baxter, R. J., 1968, J. chem. Phys., 49, 2770.

The result that follows by taking the Percus-Yevick (PY) approximation from the exact analysis of the sticky hard rod model is shown to differ from that previously obtained by Tago, Y., and Katsura, S., 1975, Can. J. Phys. 53, 2587, and the correct PY compressibility and virial equations of state are given. It is also shown that Born-Green theory yields the exact solution for the sticky hard rod fluid.

The percolation and clustering in binary mixtures with strong attraction between unlike particles is investigated. More specifically, the authors consider a binary mixture in which the interaction between unlike particles is described by Baxter's sticky hard sphere (SHS) potential, while the interaction amongst the same species is the hard sphere repulsion. The Ornstein-Zernike (OZ) equation for the pair connectedness is solved under the Percus-Yevick (PY) approximation. The percolation line always approaches zero as the density vanishes and also percolation only occurs above some lower limit of density. The percolation line is compared with the phase transition line and it is found that the existence of the phase transition line restricts the range of concentration for which percolation occurs. Moreover, the influences of density, stickiness, concentration and particle size on the pair connectedness, percolation line, mean cluster size and the coordination number are examined.