Solution of the Percus-Yevick equation for hard discs
Soft Condensed Matter
2009-11-13 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.0802.0020,
title = {Solution of the Percus-Yevick equation for hard discs},
author = {M. Adda-Bedia and E. Katzav and D. Vella},
journal= {arXiv preprint arXiv:0802.0020},
year = {2009}
}
Comments
9 pages, 3 figures