Topic
Percus–Yevick approximation
About: Percus–Yevick approximation is a research topic. Over the lifetime, 60 publications have been published within this topic receiving 6708 citations.
Papers published on a yearly basis
Papers
TL;DR: In this paper, the three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions, and a self-consistent formulation is available for determining the correlation function.
Abstract: The three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions. The resulting approximate statistical state is used to obtain the two-body correlation function. Thus, a self-consistent formulation is available for determining the correlation function. Then, the self-consistent integral equation is solved in virial expansion, and the thermodynamic quantities of the system thereby ascertained. The first three virial coefficients are exactly reproduced, while the fourth is nearly correct, as evidenced by numerical results for the case of hard spheres.
2,837 citations
TL;DR: In this article, the equation of state and pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres.
Abstract: ABS>The equation of state and the pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres. (D.C.W.)
1,797 citations
TL;DR: In this paper, it was shown that the Percus-Yevick approximation can be solved analytically for a potential consisting of a hard core together with a rectangular attractive well, provided that a certain limit is taken in which the range of the well becomes zero and its depth infinite.
Abstract: It is shown that the Percus–Yevick approximation can be solved analytically for a potential consisting of a hard core together with a rectangular attractive well, provided that a certain limit is taken in which the range of the well becomes zero and its depth infinite. The results show a first‐order phase transition which appears to be of the type observed numerically for the Lennard‐Jones 12–6 potential.
1,256 citations
TL;DR: In this article, the authors employ the solution of the Percus-Yevick equation together with quasicrystalline approximation (QCA-PY) to study multiple scattering of acoustic waves by discrete spherical scatterers.
Abstract: In studying the multiple scattering of acoustic waves by random distributions of scatterers with appreciable concentration, the approach of quasicrystalline approximation together with hole correction (QCA–HC) has been a common method. We show that such an approach will give rise to negative attenuation rate indicating a growth of the coherent wave in space which is a nonphysical solution. To derive better results, we employ the solution of the Percus–Yevick equation together with quasicrystalline approximation (QCA–PY) to study multiple scattering of acoustic waves by discrete spherical scatterers. Waterman’s T matrix formalism is used in formulating the multiple scattering problem. Closed form solutions are obtained for the effective propagation constants in the low‐frequency limit. Effective propagation constants at higher frequencies are calculated by numerical methods. The result of QCA–HC for the two‐dimensional case is also discussed.
117 citations
TL;DR: In this paper, an M component mixture of hard sphere particles on a plane hard surface with adsorption potentials whose Boltzmann factors contain δ -function was studied. And the dependence of these quantities on the adsorbate particle size and on the strength of the adsoreption potential was discussed.
Abstract: We study the adsorption of an M component mixture of hard sphere particles on to a plane hard surface with adsorption potentials whose Boltzmann factors contain δ -function. We use exact solutions of the Percus-Yevick approximation for the system to calculate the monolayer densities, the surface excess densities and the variation of density as a function of distance away from the surface. We are able to study the dependence of these quantities on adsorbate particle size and on the strength of the adsorption potential. We discuss several examples, in particular, the adsorption of a mixture of two components which are in dilute solution in a third hard sphere particle fluid.
51 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 1 |
| 2016 | 1 |
| 2013 | 1 |
| 2012 | 2 |
| 2010 | 1 |