Virial equation-of-state for the hard-disk fluid

Leslie V. Woodcock

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arXiv · 0804.0679

Virial equation-of-state for the hard-disk fluid

Leslie V. Woodcock

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Abstract

Virial coefficients for the two-dimensional hard-disk fluid, when expressed in powers of density relative to maximum close packing, lead to an accurate closed equation-of-state for the equilibrium fluid, analogous to that recently found for hard spheres. The 2D series also converges for all densities up to a negative pole at close packing density. The virial pressure begins to deviate from the thermodynamic fluid in the approach to the ordering transition.

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Leslie V. Woodcock. 2008-04-05. Virial equation-of-state for the hard-disk fluid. https://arxiv.org/abs/0804.0679

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