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
Ionic Interactions in a Polarizable Dipolar Hard‐Sphere Solvent
Hartmut Krienke,Gisbert Weigl +1 more
TL;DR: In this article, the potentials of mean forces of ions in infinitely diluted solutions are calculated by means of a general virial expansion for systems with short and long-range interactions.
Journal ArticleDOI
General solution of the associative mean spherical approximation for the mixture of dimerizing ions in neutralizing background
TL;DR: In this paper, a multicomponent model of dimerizing charged hard spheres embedded in a rigid, uniform, and neutralizing background is proposed as a reference system to describe the equilibrium properties of liquid metals and alloys as well as metal-molten salt mixtures.
Journal ArticleDOI
Contact force between hard spheres immersed in a sticky hard sphere solvent
TL;DR: The results of J. W. Perram and E. R. Smith as mentioned in this paper for an asymmetric mixture of sticky hard spheres find the force, at contact, between hard spheres immersed in a sticky hard sphere mixture, and the Percus-Yevick approximation is then used to evaluate analytically the adherence parameters.
Journal ArticleDOI
A Vineyard-type approximation for the distinct term of the dynamic pair correlation function
R. Vogelsang,C. Hoheisel +1 more
TL;DR: In this paper, a Vineyard type convolution is used to approximate the van Hove function with a self-correlation function generated by dynamics of pairs of particles, which accounts partly for cross correlation and improves the results achieved by the convolution with the pure self term of G(r, t).
Journal ArticleDOI
Debye–Hückel Theory for Charged Aligned Needles and for Polyelectrolyte Solutions
TL;DR: In this paper, a simple extension of the familiar Debye-Huckel theory of electrolyte solutions is considered to study the thermodynamic properties and the phase diagram of ionic solutions in which the ions of at least one of the species are deformed into rigid needle-like objects that have a continuous line of charge distribution along their axis of revolution.
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.
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.