The eighth virial coefficient of four- and five-dimensional hard hyperspheres |
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Authors: | Bishop Marvin Masters Andrew Vlasov A Yu |
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Affiliation: | Department of Mathematics/Computer Science, Manhattan College, Riverdale, New York 10471, USA. marvin.bishop@manhattan.edu |
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Abstract: | The eighth virial coefficient for hard hyperspheres is calculated by Monte Carlo techniques. It is found that B8/B(7)2=0.000 274+/-0.000 014 and -0.000 115+/-0.000 012 in four and five dimensions, respectively. The results are in good agreement with the findings of Clisby and McCoy (e-print arXiv:cond-mat0410511), and confirm that B8 is negative in five dimensions. |
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