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Ornstein–Zernike equations for highly asymmetric mixtures: confronting the no-solution challenge

2006/10/18 by S. Amokrane, A. Ayadim, J. G. Malherbe
Engineering · Materials Science · Chemical Engineering · #Phase Equilibria and Thermodynamics #Material Dynamics and Properties #Thermodynamic properties of mixtures

paper · doi:10.1080/00268970600988449

Abstract

The question of the absence of a solution to the Ornstein–Zernike integral equations for the pair structure of asymmetric binary mixtures is discussed. The behaviour of a recently proposed closure with a reduced no-solution domain in the case of highly asymmetric hard sphere mixtures is considered. The modifications that are required to treat non-hard-sphere interactions are examined. A possible implementation of the same strategy is illustrated for the potential of the mean force for solvophilic macroparticles in a Lennard–Jones fluid.

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