Solution of the Percus-Yevick equation for hard discs

Details Solution of the Percus-Yevick equation for hard discs Solution of the Percus-Yevick equation for hard discs

2008-01-31

arxiv.org/abs/0802.0020v1

J. Chem. Phys. 128, 184508 (2008); 129, 049901 (2008).

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 3 figures

Scientific paper

10.1063/1.2919123

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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