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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Structural properties of molten NaCl in the generalized mean spherical approximation (GMSA)
Journal ArticleDOI
Statistical-thermodynamic model for light scattering from eye lens protein mixtures.
Michael M. Bell,David S. Ross,Maurino P. Bautista,Hossein Shahmohamad,Andreas Langner,John F. Hamilton,Carrie N. Lahnovych,George M. Thurston +7 more
TL;DR: The model reveals a new lens transparency mechanism, that prominent equilibrium composition fluctuations can be perpendicular to the refractive index gradient, and indicates that increasedγ-γ attraction can raise γ-α mixture light scattering far more than it does for solutions of α-crystallin alone, and can produce marked turbidity tens of degrees celsius above liquid-liquid separation.
Journal ArticleDOI
Results of a perturbation theory for liquids and mixtures consisting of monatomic and diatomic molecules
Johann Fischer,Friedrich Kohler +1 more
TL;DR: The perturbation theory of Weeks-Chandler-Andersen has recently been extended to pure liquids of diatomic molecules and also to mixtures of monatomic and diatomic molecule as mentioned in this paper.
Journal ArticleDOI
The analytic solution of the Percus-Yevick and mean spherical equations for potentials of finite range
TL;DR: In this paper, the Percus-Yevick and mean spherical approximations (MSA) for an arbitrary smooth potential of finite range are solved in closed form, in the form of an infinite series whose coefficients involve only definite integrals of functions of the potential.
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.
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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.