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An equation of state for a fluid of hard disks is proposed: Z=1−2η+(2η0−1)(η/η0)2−1. The exact fit of the second virial coefficient and the existence of a single pole singularity at the close-packing fraction η0 are the only requirements imposed on its construction. A comparison of the prediction of virial coefficients and of the values of the compressibility factor Z with those stemming out of other known equations of state is made. The overall performance of this very simple equation of state is quite satisfactory.
Santos et al. (Fri,) studied this question.