vix.ing · top · new · best · stats · spec

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

2010/08/23 by Anthony Beris, Beris, Anthony, Leslie V. Woodcock +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1008.3872

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

arxiv created 2010/08/23 · arxiv updated 2010/08/24

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)

Related