Pair distribution function for fluid hard spheres

Abstract The pair distribution function of a system of fluid hard spheres is calculated by means of a simple generalization of the Percus-Yevick theory. A relation between the pair distribution function and the direct correlation function which leads to self-consistent results from the pressure and compressibility equations of state and which is similar, but not identical, to a proposal of Rowlinson, is postulated. This relation leads to an excellent equation of state for fluid hard spheres. Furthermore, in contrast to previous generalizations of the Percus-Yevick theory, this approach makes use only of the results of the Percus-Yevick theory and does not require the solution of a new integral equation. Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada. Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada. Notes Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada. Additional informationNotes on contributorsD. Henderson Alfred P. Sloan Foundation Fellow.

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