caa a22 4500 467892377 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8080-0 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8080-0 Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions [Elektronische Daten] [Nathan Clisby, Barry McCoy] We evaluate the virial coefficients Bk for $$k\leq 10$$ for hard spheres in dimensions $$D=2,\cdots,8.$$ Virial coefficients with k even are found to be negative when $$D\geq 5. $$ This provides strong evidence that the leading singularity for the virial series lies away from the positive real axis when $$D\geq 5$$ . 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. Springer Science + Business Media, Inc., 2006 Hard spheres nationallicence virial expansion nationallicence Clisby Nathan ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, The University of Melbourne, 139 Barry Street, 3010, Parkville Victoria, Australia aut McCoy Barry C. N. Yang Institute for Theoretical Physics, Stony Brook University, 11794-3840, Stony Brook, NY, U.S.A. aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 15-57 0022-4715 122:1<15 2006 122 10955 https://doi.org/10.1007/s10955-005-8080-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8080-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Clisby Nathan ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, The University of Melbourne, 139 Barry Street, 3010, Parkville Victoria, Australia aut NATIONALLICENCE 700 1- McCoy Barry C. N. Yang Institute for Theoretical Physics, Stony Brook University, 11794-3840, Stony Brook, NY, U.S.A aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 15-57 0022-4715 122:1<15 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer