Irreducible rational approximants for the hard-sphere fluid

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Abstract
Simulation data for the compressibility factor of 4000, 864 and 108 hard-sphere (HS) particles, obtained from different research groups, are analysed to yield empirical equations of state. A continued fraction technique, that allows information on the virial coefficients known from theoretical grounds to be included, yielding irreducible rational functions (IRF), is used. The virial expansion each IRF produces is included. For the HS systems with 864 and 108 particles these IRF are the quotient of two quadratic polynomials. We present very accurate empirical equations of state.

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