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
The statistical mechanics of a liquid of breathing hard spheres
TL;DR: In this paper, a liquid of atoms with fluctuating hard-sphere diameters is considered, where the role of liquid state packing in determining electronic or vibrational structure is investigated.
Journal ArticleDOI
On the application of the associative mean spherical approximation to the ion-dipole model for electrolyte solutions
TL;DR: In this paper, the authors simplified the associative mean spherical approximation for the ion-dipole model of an electrolyte solution and analyzed the solution of this model using a system of three coupled non-linear algebraic equations.
Journal ArticleDOI
Partial Structure Factors and Associated Correlation Functions of Molten Strontium Chloride
TL;DR: In this paper, the partial structure factors are calculated using a direct correlation function (DCF) similar to that obtained by Waisman and Lebowitz, which is used to evaluate the total structure function and the radial distribution functions.
Journal ArticleDOI
Thermodynamic properties and static structure factor for a Yukawa fluid in the mean spherical approximation.
TL;DR: This work presents the full analytic expressions for the thermodynamic properties and the static structure factor for a hard sphere plus 1-Yukawa fluid within the mean spherical approximation and shows that is not necessary the use the series expansion to solve the equation for the scaling parameter.
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.
Journal ArticleDOI
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.
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.
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.