Phase Behavior and Percolation Properties of the Patchy Colloidal Fluids in the Random Porous Media.
The lack of a simple analytical description of the hard-sphere fluid in a matrix with hard-core obstacles is limiting progress in the development of thermodynamic perturbation theories for the fluid in random porous media. We propose a simple and highly accurate analytical scheme, which allows us to calculate thermodynamic and percolation properties of a network-forming fluid confined in the random porous media, represented by the hard-sphere fluid and overlapping hard-sphere matrices, respectively. Our scheme is based on the combination of scaled-particle theory, Wertheim's thermodynamic perturbation theory for associating fluids and extension of the Flory-Stockmayer theory for percolation. The liquid-gas phase diagram and percolation threshold line for several versions of the patchy colloidal fluid model confined in a random porous media are calculated and discussed. The method presented enables calculation of the thermodynamic and percolation properties of a large variety of polymerizing and network-forming fluids confined in random porous media.
†Institute for Condensed Matter Physics, Svientsitskoho 1, 79011 Lviv, Ukraine.
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Kalyuzhnyi
†Institute for Condensed Matter Physics, Svientsitskoho 1, 79011 Lviv, Ukraine.
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Holovko
†Institute for Condensed Matter Physics, Svientsitskoho 1, 79011 Lviv, Ukraine.
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Patsahan
‡Department of Chemical and Biochemical Engineering, Vanderbilt University, Nashville, Tennessee 37235-1604, United States.
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Cummings
network-forming fluids; patchy colloids; percolation; phase coexistence; porous media; scaled particle theory