Journal ArticleDOI
Ornstein–Zernike Relation and Percus–Yevick Approximation for Fluid Mixtures
TLDR
In this paper, a transformation of the Ornstein-Zernike relation for fluid mixtures is derived which involves the direct and indirect correlation functions only over the ranges within which the former are nonzero.Abstract:
A transformation of the Ornstein–Zernike relation for fluid mixtures is derived which involves the direct and indirect correlation functions only over the ranges within which the former are nonzero. Also, two closed expressions for the compressibility pressure in the Percus–Yevick (PY) approximation for mixtures are presented. The analytic solution of the PY approximation for mixtures of hard spheres follows immediately, and it is expected that the results should be of use in numerical calculations for systems with short‐range forces, where the direct correlation functions normally tend rapidly to zero with increasing particle separation.read more
Citations
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Journal ArticleDOI
Depletion and Structural Forces between Two Macrosurfaces Immersed in a Bidisperse Colloidal Suspension
TL;DR: NikNikolov et al. as discussed by the authors performed a statistical mechanics study of a model system that consists of a binary hard-sphere mixture with a size ratio of 1 : 10 between two planar surfaces.
Journal ArticleDOI
From the depletion attraction to the bridging attraction: the effect of solvent molecules on the effective colloidal interactions.
Jie Chen,Steven R. Kline,Yun Liu +2 more
TL;DR: This work uses Baxter's multi-component method for sticky hard sphere systems with the Percus-Yevick approximation to study the bridging attraction and its consequence to phase diagrams, which are controlled by the concentration of small particles and their interaction with large particles.
Journal ArticleDOI
Spatial correlations and solvation interaction in a two‐component mixture of adhesive fluids
TL;DR: In this article, the phase behavior and the spatial correlations in a two-component mixture of adhesive fluids are studied on the basis of the solution to the Percus-Yevick/Ornstein-Zernike equation.
Journal ArticleDOI
Continuum percolation and pair-connectedness function in binary mixtures of strongly interacting particles
Yee Chiew,Eduardo D. Glandt +1 more
TL;DR: In this article, the percolation and aggregation in binary mixtures of strongly interacting particles are determined using the Ornstein-Zernike integral equation in the Percus-Yevick (PY) integral equation.
Journal ArticleDOI
Mean spherical model for the structure of Lennard‐Jones fluids
TL;DR: The mean spherical model (MSM) has been solved for the 12/6 fluid in four different states which correspond to those of neon, argon, krypton, and xenon at relatively high densities.
References
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Journal ArticleDOI
Thermodynamic Properties of Mixtures of Hard Spheres
TL;DR: In this article, the authors investigated the thermodynamic properties of a binary mixture of hard spheres by using the recently obtained exact solution of the generalized equations of Percus and Yevick for the radial distribution functions of such a mixture.
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Approximation Methods in Classical Statistical Mechanics
TL;DR: In this paper, the pair distribution function for a classical fluid in thermal equilibrium is found to be more closely approximated by the Percus and Yevick (Phys. Rev., 110: 1(1958)) approximation than by the Bogoliubov-Born-Green- Kirkwood-Yvon (B.G.K.H.) approximation or the hypernetted chain approximation.
Journal ArticleDOI
Ornstein-Zernike relation for a disordered fluid
TL;DR: In this paper, it was shown that if the direct correlation function c(r) vanishes beyond a range R, then a third function Q(r), which is related to c and h (r) by equations that involve the functions only over the range (O,R), can be introduced.
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A New Approach to the Theory of Classical Fluids. I
Tohru Morita,Kazuo Hiroike +1 more
TL;DR: In this article, an exact integral equation for the pair distribution function is found for the Helmholtz free energy and the integral equation can be derived also by means of a variational principle from the expression for the free energy.
Journal ArticleDOI
Percus‐Yevick Equation Applied to a Lennard‐Jones Fluid
TL;DR: An efficient method of solving the Percus-Yevick and related equations is described in this paper, where the method is applied to a Lennard-Jones fluid, and the solutions obtained are discussed.