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
Thermodynamics of a model for flexible polyelectrolytes in the binding mean spherical approximation
Olivier Bernard,Lesser Blum +1 more
TL;DR: In this article, a new chain approximation for flexible polymers made of arbitrarily charged spheres of arbitrary diameter was proposed, which satisfies explicitly the Debye-Huckel limiting law for all lengths n and also for all charge combinations.
Journal ArticleDOI
Solution of the Percus–Yevick equation for hard hyperspheres in even dimensions
TL;DR: Rohrmann et al. as mentioned in this paper showed that the sign alternation is due to the existence of a branch point on the negative real axis, which determines the radius of convergence of the virial series.
Journal ArticleDOI
Critical Coagulation Concentration of a Colloidal Suspension at High Particle Concentrations
Jyh-Ping Hsu,Bo-Tau Liu +1 more
TL;DR: In this article, the critical coagulation concentration (CCC) of a spherical colloidal suspension is estimated using a statistical approach based on the Ornstein-Zernike model and Percus-Yevick relation.
Journal ArticleDOI
Analytic solution of the molecular Ornstein–Zernike equation for nonspherical molecules. Spheres with anisotropic surface adhesion
Peter T. Cummings,Lesser Blum +1 more
TL;DR: In this article, the molecular Ornstein-Zernike equation is solved for a fluid of hard spheres with anisotropic surface adhesion yielding a small set of nonlinear algebraic equations which must be solved numerically in order to obtain structural and thermodynamic properties.
Journal ArticleDOI
Bridging and depletion mechanisms in colloid-colloid effective interactions: A reentrant phase diagram.
TL;DR: In this paper, a general class of nonadditive sticky-hard-sphere binary mixtures, where small and large spheres represent the solvent and the solute, respectively, is introduced.
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.