Abstract
We use a new hierarchy of integral equations for the background correlation functions of hard spheres previously derived to calculate the thermodynamic and structural properties of the hard-disc fluid. The virial coefficients, compressibility factors, and chemical potentials calculated using the second-order closure agree excellently with computer simulation data. Values of the background pair correlation function, and the triplet correlation function for all three discs in contact are also given. For the latter functions, at high densities the second-order closure agrees well with the BGY2 integral equation theory, and predicts large deviations from the superposition approximation. The zeroth-order form of the theory is shown to be equivalent to the BGYM theory of Chae, D. G., Ree, F. H., and Ree, T., 1969, J. chem. Phys., 70, 1581.
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