New results for the virial coefficients of D-dimensional hard spheres
| dc.creator | Clisby, N. | |
| dc.creator | McCoy, B. M. | |
| dc.date | 2003-03-06 | |
| dc.date | 2003-03-20 | |
| dc.date.accessioned | 2026-07-07T02:50:01Z | |
| dc.date.available | 2026-07-07T02:50:01Z | |
| dc.description | Exact results are given for the fourth virial coefficient of hard spheres in even dimensions up through 12. The fifth and sixth virial coefficients are numerically computed for dimensions 2 through 50 and it is found that the sixth virial coefficient is negative for D >= 6. Numerical studies are made of the contributing Ree Hoover diagrams up to order 17. It is found for D >= 3 that for large order a class of diagrams we call "loose packed" dominates and the rate of growth of these diagrams is used to study bounds on the radius of convergence. | |
| dc.description | 4 pages, 4 figures, RevTeX, v2: references changed, formatted for PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0303101 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0303101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20979 | |
| dc.subject | Statistical Mechanics | |
| dc.title | New results for the virial coefficients of D-dimensional hard spheres | |
| dc.type | text |