English

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

Statistical Mechanics 2010-08-24 v1

Abstract

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)

Keywords

Cite

@article{arxiv.1008.3872,
  title  = {Closed virial equation-of-state for the hard-disk fluid},
  author = {Anthony Beris and Leslie V. Woodcock},
  journal= {arXiv preprint arXiv:1008.3872},
  year   = {2010}
}

Comments

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