Results of Percus-Yevick approximation for a binary mixture of hard spheres with nonadditive diameters; R11=R22=0, R12 > 0
- 15 January 1974
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 60 (2) , 523-533
- https://doi.org/10.1063/1.1681070
Abstract
We investigate the properties of binary mixtures of hard sphere fluids with nonadditive diameters: Calling Rij the distance of closest approach between particles of species i and j we assume R12=½ (R11 + R22)+α with α≠0. We find the exact solution of the Percus‐Yevick integral equation for this system in both one and three dimensions when R11 = R22 = 0, α > 0 (Widom‐Rowlinson model). The solution of the PY equation for the Widom‐Rowlinson model exhibits a phase transition (corresponding to a separation of the components) in three but not in one dimension. This is in agreement with the true behavior of this system. The critical indices in three dimensions are classical.Keywords
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