2003/03/06 by N. Clisby, Nathan Clisby, Barry M. McCoy +3
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0303101
4 pages, 4 figures, RevTeX, v2: references changed, formatted for PRL
openalex publication_date 2003/03/06 · arxiv created 2003/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.