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Percus-Yevick equation for hard spheres with surface adhesion

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It is shown that the Percus-Yevick approximation can be solved analytically for a potential consisting of a hard core together with a rectangular attractive well, provided that a certain limit is taken in which the range of the well becomes zero and its depth infinite. The results show a first-order phase transition which appears to be of the type observed numerically for the Lennard-Jones 12-6 potential.

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Journal of Chemical Physics

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