TITLE

Percus–Yevick-like integral equation for random sequential addition

AUTHOR(S)
Boyer, D.; Tarjus, G.; Viot, P.; Talbot, J.
PUB. DATE
July 1995
SOURCE
Journal of Chemical Physics;7/22/1995, Vol. 103 Issue 4, p1607
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Random sequential addition is a process that generates nonequilibrium configurations of hard objects. The corresponding spatial pair correlations are investigated via a Percus–Yevick (PY)-like integral equation. Numerical solutions are obtained in one, two, and three dimensions. Comparison with exact results in one dimension and with Monte Carlo data in higher dimensions shows that the PY-like integral equation provides an accurate description of the structure, except close to the jamming limit, where the logarithmic divergence of the correlation function at contact is not reproduced. Using diagrammatic expansions, we show that in one dimension, contrary to its equilibrium counterpart, this equation is only exact up to the second order in density. © 1995 American Institute of Physics.
ACCESSION #
7638948

 

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