A branch-point approximant for the equation of state of hard spheres

Details A branch-point approximant for the equation of state of hard spheres A branch-point approximant for the equation of state of hard spheres

2009-03-23

arxiv.org/abs/0903.3877v3

J. Chem. Phys. 130, 214104-1-5 (2009)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 tables, 3 figures; v2: enlarged version, extension to other dimensionalities; v3: typos in references corrected

Scientific paper

10.1063/1.3147723

Using the first seven known virial coefficients and forcing it to possess two branch-point singularities, a new equation of state for the hard-sphere fluid is proposed. This equation of state predicts accurate values of the higher virial coefficients, a radius of convergence smaller than the close-packing value, and it is as accurate as the rescaled virial expansion and better than the Pad\'e [3/3] equations of state. Consequences regarding the convergence properties of the virial series and the use of similar equations of state for hard-core fluids in $d$ dimensions are also pointed out.

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