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Statistical Mechanical Study of Hydrophobic Interaction. IV. The Behavior of the Function y(R) at Short Distances
1.A. Ben‐Naim, J. Chem. Phys. 54, 1387 (1971) (to be referred to as Part I).
2.A. Ben‐Naim, J. Chem. Phys. 54, 3696 (1971) (to be referred to as Part II).
3.E. Merron and A. J. F. Siegert, J. Chem. Phys. 48, 3139 (1968).
4.J. S. Rowlinson, in Physics of Simple Liquids, edited by H. N. V. Temperley, J. S. Rowlinson, and G. S. Rushbrooke (North‐Holland, Amsterdam, 1968).
5.The content of relation (1.1) has been known in various forms; for citations of earlier literature see Ref. 3.
6.Introducing a hard sphere solute to a fixed position in the solvent is equivalent to creating a cavity of a suitable diameter. For a pair of hard spheres, the equivalence to a pair of cavities is valid expect for the fact that the two particles cannot penetrate into each other. However, since we are interested in which does not include the direct pair potential between the pair of solute particles, we may replace the two hard solutes by their suitable cavities without effecting any of the arguments. Making this replacement enables one to conceive a process in which the two cavities are brought to any distance up to
7.An exact solution of the Percus‐Yevick equations for mixtures of hard spheres has been presented by Lebowitz [Q. L. Lebowitz, Phys. Rev. 133, A895 (1964)],
7.and examined numerically for hard spheres [G. J. Throop and R. J. Bearman, J. Chem. Phys. 42, 2838 (1965)]
7.and for Lennard‐Jones molecules [G. J. Throop and R. J. Bearman, J. Chem. Phys. 44, 1423 (1966)] by Throop and Bearman. Recently we applied a set of four Percus‐Yevick equations to the study of a binary system of spherical and “waterlike” molecules in two dimensions. A preliminary report on this work has been published (Ref. 8).
8.A. Ben‐Naim, J. Chem. Phys. 54, 3682 (1971).
9.A. Ben‐Naim, Mol. Phys. (to be published).
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