A new equation of state is presented for hard-spheres, which can reproduce the exact values of the first seven virial coefficients. These values are in agreement with the molecular dynamic calculations of Alder and Wainwright [J. Chem. Phys. 33, 1439 (1960)]. Comparisons with the existing equations of state show that the new equation possesses superior ability to describe the hard-sphere phase behavior.
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Miandehy et al. (2003) studied this question.
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