Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-12-22
J. Chem. Phys. 134, 084502 (2011)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 6 figures; v2: discussion about hard-square and hard-hexagon systems on a lattice added; five new references
Scientific paper
10.1063/1.3558779
The question of whether the known virial coefficients are enough to determine the packing fraction $\eta_\infty$ at which the fluid equation of state of a hard-sphere fluid diverges is addressed. It is found that the information derived from the direct Pad\'e approximants to the compressibility factor constructed with the virial coefficients is inconclusive. An alternative approach is proposed which makes use of the same virial coefficients and of the equation of state in a form where the packing fraction is explicitly given as a function of the pressure. The results of this approach both for hard-disk and hard-sphere fluids, which can straightforwardly accommodate higher virial coefficients when available, lends support to the conjecture that $\eta_\infty$ is equal to the maximum packing fraction corresponding to an ordered crystalline structure.
de Haro Mariano López
Maestre Miguel Ángel G.
Robles Miguel
Santos Andrés
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