Continuum percolation of the four-bonding-site associating fluids

Details Continuum percolation of the four-bonding-site associating fluids Continuum percolation of the four-bonding-site associating fluids

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jsp....88.1333v&link_type=abstract

Journal of Statistical Physics, Volume 88, Issue 5-6, pp. 1333-1352

Physics

11

Percolation, Association, Integral Equation, Ideal Network

Scientific paper

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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