Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 122, Issue 1, Pages 15-57Publisher
SPRINGER
DOI: 10.1007/s10955-005-8080-0
Keywords
hard spheres; virial expansion
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We evaluate the virial coefficients B-k for k <= 10 for hard spheres in dimensions D = 1 (....) 8. Virial coefficients with k even are found to be negative when D >= 5. This provides strong evidence that the leading singularity for the virial series lies away from the positive real axis when D >= 5. Further analysis provides evidence that negative virial coefficients will be seen for some k > 10 for D = 4, and there is a distinct possibility that negative virial coefficients will also evetually occur for D = 3.
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