Solution of the Percus-Yevick equation for hard discs
arXiv:0802.0020 · doi:10.1063/1.2919123
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.
9 pages, 3 figures