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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Monte Carlo Simulations of Pair Distribution Functions of Dense Discrete Random Media With Multiple Sizes of Particles
TL;DR: In this article, Monte Carlo simulations of pair distribution functions of dense discrete random media consisting of particles of multiple sizes are performed to generate a series of configurations through random processes, and the results from the two Monte Carlo methods are compared with the results of the Percus-Yevick approximation.
Journal ArticleDOI
Structural properties of solutions of spherical micelles: Effect of finite size of small ions
TL;DR: In this article, the effects of a finite size of the small ions (counterions and ions of 1−1 electrolytes added to the supporting solution) on the structural properties of solutions of spherical micelles are studied.
Journal ArticleDOI
Primitive models of chemical association. IV. Polymer Percus–Yevick ideal-chain approximation for heteronuclear hard-sphere chain fluids
TL;DR: In this article, an integral-equation theory is developed and used for the monomer-monomer correlation functions in a fluid of multicomponent freely jointed hard-sphere polymers.
Journal ArticleDOI
Dynamic light scattering from concentrated water‐in‐oil microemulsions: The coupling of optical and size polydispersity
Y. D. Yan,J. H. R. Clarke +1 more
TL;DR: In this paper, the authors extended the relative mode amplitude calculation to the general case where optical (i.e., refractive index) and size polydispersity are completely coupled such as in water-in-oil microemulsions.
Journal ArticleDOI
Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition.
TL;DR: Hopkins et al. as mentioned in this paper studied the small wavenumber k behavior of the structure factor S(k) of overcompressed amorphous hard-sphere configurations for a wide range of densities up to the maximally random jammed state, which can be viewed as a prototypical glassy state.
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.
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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.