Solution of the Percus-Yevick equation for hard discs

M. Adda-Bedia; E. Katzav; D. Vella

doi:10.1063/1.2919123

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arXiv · 0802.0020

Solution of the Percus-Yevick equation for hard discs

M. Adda-Bedia·E. Katzav·D. Vella

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Abstract

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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M. Adda-Bedia, E. Katzav, D. Vella. 2008-01-31. Solution of the Percus-Yevick equation for hard discs. https://doi.org/10.1063/1.2919123

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