Closed virial equation-of-state for the hard-disk fluid

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Phys. Rev. Lett. PACS 51.30.+i 8 pages 3 figs. June 16 2010

Scientific paper

A closed virial equation-of-state for the low density fluid phase of hard disks is obtained from the known virial coefficients. The equation exhibits 6-figure accuracy for the thermodynamic (MD) pressure up to the reduced number density ~ 0.4 Interpolation of the discrepancy at higher densities indicates a higher-order thermodynamic phase transition at the extensive-intensive free-volume percolation transition previously located by Hoover et al. (JCP 70 1837 1979)

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