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 unified theory of adsorption and wetting using the percus yevick equation for hard spheres with surface adhesion
TL;DR: In this paper, the Percus-Yevick model for an assembly of similar spherical particles with hard sphere repulsion plus a delta function attraction is generalised to an arbitrary number of components.
Journal ArticleDOI
Screening of Coulomb interactions in liquid dielectrics.
TL;DR: A microscopic model for dipolar screening in polar liquids is developed in this article, which shows that the standard bulk dielectric constant is responsible for screening at large distances and that the potential of mean force between ions in polar liquid becomes oscillatory at short distances.
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Pair correlation functions for the asymmetric ion-dipole model in the mean spherical approximation
M.F. Golovko,I.A. Protsykevich +1 more
TL;DR: In this article, general expressions for the Baxter factor correlation functions are obtained in the mean spherical approximation for a mixture of hard ions of arbitrary size and charge in a dipolar solvent.
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Analytical representations for the radial distribution functions of mixtures of adhesive spheres
TL;DR: In this paper, the pole topology of the Laplace transforms of the pair distribution functions (PDFs) of a binary mixture of adhesive hard spheres (AHS) both for the Percus-Yevick equation and the mean spherical model (MSM) was studied.
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Study on the analytical solution of the MSA for a one-component two-Yukawa potential in bovine serum albumin-NaCl aqueous solution
TL;DR: In this article, an explicit analytical equation of state (EOS) with non-dimensional variables for one-component two-Yukawa fluid is established based on the work of Blum, L., and Ubriaco, M., 2000, Molec. Phys., 98, 829.
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.
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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.