Exact solution of the Percus-Yevick integral equation for fluid mixtures of hard hyperspheres
Structural and thermodynamic properties of multicomponent hard-sphere fluids at odd dimensions have recently been derived in the framework of the rational function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E 83, 011201 (2011)]. It is demonstrated here that the RFA technique yields the exa...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/12987 |
| Acceso en línea: | http://hdl.handle.net/11336/12987 |
| Access Level: | acceso abierto |
| Palabra clave: | Percus-Yevick Fluids Statistics https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | Structural and thermodynamic properties of multicomponent hard-sphere fluids at odd dimensions have recently been derived in the framework of the rational function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E 83, 011201 (2011)]. It is demonstrated here that the RFA technique yields the exact solution of the Percus-Yevick (PY) closure to the Ornstein-Zernike (OZ) equation for binary mixtures at arbitrary odd dimensions. The proof relies mainly on the Fourier transforms ĉij(k) of the direct correlation functions defined by the OZ relation. From the analysis of the poles of ĉij(k) we show that the direct correlation functions evaluated by the RFA method vanish outside the hard core, as required by the PY theory. |
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