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
Supplement to Blum's theory for asymmetric electrolytes
TL;DR: In this paper, a supplement to Blum's theory for asymmetric electrolytes is presented. But it does not address the problem of asymmetric electrophoresis, and it cannot explain the asymmetric EH.
Journal ArticleDOI
The structure of electrolytes at charged surfaces: Ion–dipole mixtures
TL;DR: In this article, the detailed structure of the double layer was investigated using a model fluid consisting of hard spheres with embedded point charges in a solvent, where the model fluid treated solute and solvent particles on an equal basis, unlike the primitive model of electrolytes.
Journal ArticleDOI
Thermodynamics of the MSA for simple fluids
J. S. Ho,ye,George Stell +2 more
TL;DR: In this article, the thermodynamic properties of the mean spherical approximation for simple fluid and simple fluid mixtures were analyzed and several improved approximations were proposed for simple fluids and simple mixtures.
Journal ArticleDOI
A model of solvent structure around ions
TL;DR: In this article, the authors used a model of hard spheres with embedded point charges in a solvent of hard spherical dipoles to study the debye-Huckel theory of electrolytes.
Journal ArticleDOI
Solution of the Ornstein-Zernike equation with Yukawa closure for a mixture
Lesser Blum,J. S. Høye +1 more
TL;DR: In this article, the Ornstein-Zernike equation with Yukawa closure for a mixture is solved using the Fourier transform or factorization technique introduced by Baxter and the general solution is obtained in the form of algebraic equations.
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.