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Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions

N. Clisby·B. M. McCoy
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Abstract

We evaluate the virial coefficients B_k for k<=10 for hard spheres in dimensions D=2,...,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 eventually occur for D=3.

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BibTeXRIS

N. Clisby, B. M. McCoy. 2005-03-21. Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions. https://doi.org/10.1007/s10955-005-8080-0

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