Negative Virial Coefficients and the Dominance of Loose Packed Diagrams for D-Dimensional Hard Spheres
نویسندگان
چکیده
منابع مشابه
Dimensional interpolation of hard sphere virial coefficients
We examine the dependence on spatial dimension D of the Mayer cluster integrals that determine the virial coefficients B, for a fluid of rigid hyperspheres. The integrals vary smoothly with D, and can be characterized analytically in both the low-D and high-D limits. Dimensional interpolation (DI) allows one to evaluate individual Mayer cluster integrals at D = 2 and D = 3 to within about 1%. T...
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We evaluate the virial coefficients Bk 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 ...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2004
ISSN: 0022-4715
DOI: 10.1023/b:joss.0000013960.83555.7d