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The Percus–Yevick, hypernetted-chain, and “pressure-consistent' integral equations have been solved, using numerical Hankel transforms, for a fluid of two-dimensional hard cores. The thermodynamic quantities obtained from these solutions are presented and compared among themselves and with the results of other theories; a comparison of computed pair distribution functions g with a Monte Carlo g is also presented. The Percus–Yevick equation is found to give the best over-all results.
F. Lado (Tue,) studied this question.