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 journalArticlepeer-review

27 Scopus citations


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 languageAmerican English
Article number184508
JournalJournal of Chemical Physics
Issue number18
StatePublished - 2008
Externally publishedYes

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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