Continuum percolation of the four-bonding-site associating fluids |
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Authors: | Eduard Vakarin Yurko Duda Myroslav Holovko |
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Institution: | (1) Institute for Condensed Matter Physics, Lviv 11, Ukraine;(2) Instituto de Quimica de la UNAM, Circuito Exterior, Coyoacán, 04510 México D.F., Mexico |
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Abstract: | Wertheim’s integral equation theory for associating fluids is reformulated for the study of the connectedness properties of
associating hard spheres with four bonding sites. The association interaction is described as a square-well saturable attraction
between these sites. The connectedness version of the Ornstein-Zernike (OZ) integral equation is supplemented by the PY-like
closure relation and solved analytically within an ideal network approximation in which the network is represented as resulting
from the crossing of ideal polymer chains. The pair connectedness functions and the mean cluster size are calculated and discussed.
The condition for the percolation transition and the analytical form of the percolation threshold are derived. The connection
of the percolation with the gas-liquid phase transition is discussed. |
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Keywords: | Percolation association integral equation ideal network |
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