Pressure of the metastable hard-sphere fluid

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Abstract
The pressure of the hard-sphere fluid was measured from near the equilibrium freezing density to the maximum density where the properties of the metastable fluid can be measured without it freezing or becoming glassy. Above the freezing density the measured pressures increase faster than the predictions of Padé approximants based on the known virial coefficients, which raises the possibility of a high-order singularity at the freezing density. However, a model fluid that has exactly the same virial coefficients as hard spheres, up to , is shown to have a higher pressure than the hard-sphere fluid well below the freezing density of either fluid and this casts doubt on the reliability of Padé approximants.

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