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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Investigating the entropic nature of membrane-mediated interactions driving the aggregation of peripheral proteins.
TL;DR: Congruent outcomes of the two approaches point to the conclusion that for low surface concentrations, interactions with an entropic nature may drive the aggregation, but at high concentrations, enthalpic contributions due to concerted membrane deformation by protein clusters are dominant.
Journal ArticleDOI
Закритическая жидкость частиц с потенциалом Юкавы: новое приближение для прямой корреляционной функции и линия Видома@@@Supercritical fluid of particles with a Yukawa potential: A new approximation for the direct correlation function and the Widom line
Book ChapterDOI
Analytical Results for the Scattering Intensity of Concentrated Dispersions of Polydispersed Hard-Sphere Colloids
Agienus Vrij,C. G. de Kruif +1 more
TL;DR: The analysis of the experimental scattering data for colloidal dispersions often rely on the assumption that the dispersed particles are of uniform size, and at least a moderate level of polydispersity often exists as discussed by the authors.
Journal ArticleDOI
Improved cutoff functions for short-range potentials and the Wolf summation
TL;DR: In this article , a class of radial, polynomial cutoff functions f c n ( r ) for short-ranged pair potentials or related expressions is proposed.
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.