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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Relationship between thermodynamic perturbation and scaled particle theories for fused dimers fluids.
TL;DR: In this paper, a review of various approaches that use scaled particle theories to describe dumbbell fluids made of tangent or overlapped hard spheres is presented, in a form similar to that presented in the thermodynamic perturbation theory introduced by Wertheim for chains and developed in statistical associating fluid theory (SAFT).
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Variational mean spherical scaling approximation for nonspherical ions: The case of asymmetrical dimers
Samuel Santana,Esov S. Velázquez +1 more
TL;DR: The variational mean spherical scaling (VMSS) as mentioned in this paper is a generalization of the mean spherical approximation, which takes into account the excluded volume effect of all the ions in the solution.
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Integral equation theory for a valence-limited model of colloidal systems
TL;DR: An analytic theory for the structure and thermodynamics of the Speedy-Debenedetti-Baxter valence-limited model of colloidal fluids is developed in this paper , which is based on the solution of the multidensity version of the Ornstein-Zernike equation supplemented by a Percus-Yevick-like closure relation.
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Analytic and Perturbation Theories of Fluid Mixtures
TL;DR: In this article, exact solutions to the Percus-Yevick and Mean Spherical approximations for various model multicomponent systems are reviewed, with a view to their providing suitable reference states for perturbation theories of fluid mixtures.
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.
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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.
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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.