Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal
| dc.creator | Santos, A. | |
| dc.creator | Yuste, S. B. | |
| dc.creator | de Haro, M. Lopez | |
| dc.date | 2002-03-08 | |
| dc.date | 2002-07-01 | |
| dc.date.accessioned | 2026-07-07T02:44:39Z | |
| dc.date.available | 2026-07-07T02:44:39Z | |
| dc.description | The contact values $g_{ij}(σ_{ij})$ of the radial distribution functions of a $d$-dimensional mixture of (additive) hard spheres are considered. A `universality' assumption is put forward, according to which $g_{ij}(σ_{ij})=G(η, z_{ij})$, where $G$ is a common function for all the mixtures of the same dimensionality, regardless of the number of components, $η$ is the packing fraction of the mixture, and $z_{ij}$ is a dimensionless parameter that depends on the size distribution and the diameters of spheres $i$ and $j$. For $d=3$, this universality assumption holds for the contact values of the Percus--Yevick approximation, the Scaled Particle Theory, and, consequently, the Boublik--Grundke--Henderson--Lee--Levesque approximation. Known exact consistency conditions are used to express $G(η,0)$, $G(η,1)$, and $G(η,2)$ in terms of the radial distribution at contact of the one-component system. Two specific proposals consistent with the above conditions (a quadratic form and a rational form) are made for the $z$-dependence of $G(η,z)$. For one-dimensional systems, the proposals for the contact values reduce to the exact result. Good agreement between the predictions of the proposals and available numerical results is found for $d=2$, 3, 4, and 5. | |
| dc.description | 10 pages, 11 figures; Figure 1 changed; Figure 5 is new; New references added; accepted for publication in J. Chem. Phys | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0203182 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0203182 | |
| dc.identifier | J. Chem. Phys. 117, 5785-5793 (2002) | |
| dc.identifier | doi:10.1063/1.1502247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19013 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Chemical Physics | |
| dc.title | Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal | |
| dc.type | text |