Solution of the Percus-Yevick equation for hard disks

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

doi:10.1063/1.2919123

Solution of the Percus-Yevick equation for hard disks

M. Adda-Bedia, E. Katzav^*, D. Vella

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The authors solve the Percus-Yevick equation in two dimensions by reducing it to a set of simple integral equations. They numerically obtain both the pair correlation function and the equation of state for a hard disk fluid and find good agreement with available Monte Carlo results. The present method of resolution may be generalized to any even dimension.

Original language	English
Article number	184508
Journal	Journal of Chemical Physics
Volume	128
Issue number	18
DOIs	https://doi.org/10.1063/1.2919123
State	Published - 2008
Externally published	Yes

Bibliographical note

Funding Information:
We would like to thank Professor Santos for his useful comments. This work was supported by EEC PatForm Marie Curie action (E.K.) and the Royal Commission for the Exhibition of 1851 (D.V.). Laboratoire de Physique Statistique is associated with Universities Paris VI and Paris VII.

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10.1063/1.2919123

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Solution of the Percus-Yevick equation for hard disks

Abstract

Bibliographical note

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