Publication: Approximate analytical expression for the direct correlation-function of hard discs within the Percus-Yevick equation
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1995-06-10
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Taylor & Francis Ltd
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Abstract
A simple approximate analytical expression for the direct correlation function of a hard-sphere fluid in D dimensions within the Percus-Yevick equation is proposed. The approximation exactly reproduces the well-known results for D = 1 and D = 3, while for D = 2 it compares well to the numerical results for densities not very close to the freezing density.