Application of the Percus-Yevick equation

An approximate version of the Percus-Yevick ( Y) equation has been applied for the pair potential based on the Bjerrum model [Ben-Naim (1970)]. The pair correlation function is written in 

Consider the pair potential given in Sec. 2.7.2, which we now write as 

It is possible that the PY integral equation, though very successful for simple fluids, is inadequate for a system of particles interacting with very strong attractive forces. In addition, the solution of the full PY equation is still unfeasible for 

To the best of the author s knowledge, not much work has been done on using integral equation methods to study water. Perhaps one exception is the work by Pettitt and Rossky (1982). 

Dahl and Andersen (1983b) and Andersen (1974) used an approximate cluster theory of liquids to calculate some of the outstanding properties of water. The input pair potential used in the theory is essentially the BN3D potential described 

We will not go through the details of the computations because they are quite lengthy and highly technical, and because the results obtained have been only partially successful. We present here one result that is of significance. 

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A. Ben-Naim, Statistical mechanics of waterlike particles in two dimensions. I. Physical model and application of the Percus-Yevick equation. J. Chem. Phys., 54 (1971), 3682-95. 

The application of the Percus-Yevick equation to the BN2D model... 

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