Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
نویسندگان
چکیده
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 for D = 4, and there is a distinct possibility that negative virial coefficients will also eventually occur for D = 3.
منابع مشابه
New results for virial coefficients of hard spheres in D dimensions
We present new results for the virial coefficients Bk with k ≤ 10 for hard spheres in dimensions D = 2, · · · , 8.
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