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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A model for the examination of phase behaviour in multicomponent systems
TL;DR: In this article, the Percus-Yevick equation for a multicomponent system of adhesive spheres is solved exactly and the phase behavior is determined by the number and nature of zeros of a system of m (m + 1) 2 quadratic equations.
Journal ArticleDOI
Thermodynamic perturbation theory for molecular liquid mixtures
Johann Fischer,Santiago Lago +1 more
TL;DR: In this article, a weeks-and-chandler-andersen type perturbation theory for the Helmholtz energy of mixtures consisting of molecules with nonspherical cores is given.
Journal ArticleDOI
Polydispersity in colloids : implications to static structure and scattering
Paul Salgi,Raj Rajagopalan +1 more
TL;DR: Theoretical and experimental analyses of the structure of colloidal dispersions have traditionally relied on model systems of monodisperse particles as mentioned in this paper, however, numerous theoretical studies aimed at incorporating the effects of size-polydispersity, charge polydispersities, and poly dispersity in attractive interactions on the equilibrium structure of dispersions of spherical particles have appeared in recent years.
Journal ArticleDOI
Thin liquid film structure and stability: The role of depletion and surface‐induced structural forces
TL;DR: In this article, the effective pair interaction between particles is calculated from the Ornstein-Zernike theory with Percus-Yevick closure to reveal the phenomena of internal particle layering as well as in-layer structure formation.
Journal ArticleDOI
Simple MSA solution and thermodynamic theory in a hard-sphere Yukawa system
TL;DR: In this article, a simple expression for the mean-spherical approximation (MSA) solution of the Ornstein-Zernike (OZ) equation in the Baxter formalism is presented for the case with n components and a single Yukawa term with factorizable prefactor: all coefficients of the MSA solution are given in terms of simple rational functions of a parameter that is defined as the acceptable solution of a nonlinear equation.
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.
Journal ArticleDOI
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.