Solution of the Percus-Yevick equation for hard discs
classification
❄️ cond-mat.soft
cond-mat.stat-mech
keywords
equationhardpercus-yevickagreementavailablecalculationscorrelationdimension
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We solve the Percus-Yevick equation in two dimensions by reducing it to a set of simple integral equations. We numerically obtain both the pair correlation function and the equation of state for a hard disc fluid and find good agreement with available Monte-Carlo calculations. The present method of resolution may be generalized to any even dimension.
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