Equation of state for parallel hard spherocylinders

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Abstract
A recent model for positional ordering in systems of monodisperse parallel hard spherocylinders is used to calculate the pressure over the entire range of densities and cylinder axial ratios. Reasonable quantitative agreement with Monte Carlo data is obtained for the full spectrum of nematic, smectic, columnar, and crystalline order. Analytical expressions are also given for the characteristic lengths of the ordering in these phases.