Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 114, Issue 5-6, Pages 1361-1392Publisher
SPRINGER
DOI: 10.1023/B:JOSS.0000013960.83555.7d
Keywords
hard spheres; virial expansion
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We study the virial coefficients B(k) of hard spheres in D dimensions by means of Monte-Carlo integration. We find that B(5) is positive in all dimensions but that B(6) is negative for all D greater than or equal to 6. For 7 less than or equal to k less than or equal to 17 we compute sets of Ree-Hoover diagrams and find that either for large D or large k the dominant diagrams are loose packed.'' We use these results to study the radius of convergence and the validity of the many approximations used for the equations of state for hard spheres.
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