New results for virial coefficients of hard spheres in D dimensions

Pramana - Journal of Physics

Volumn 64, Issue 5 SPEC. ISS., 2005, Pages 775-783

  Clisby, Nathan ^a   Mccoy, Barry M ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

Hard spheres; Ree Hoover diagrams; Virial expansion

Indexed keywords

APPROXIMATION THEORY; FLOW OF FLUIDS; FORTRAN (PROGRAMMING LANGUAGE); INTEGRATION; MONTE CARLO METHODS; PHASE INTERFACES;

DIFFERENTIAL APPROXIMANTS; HARD SPHERES; REE HOOVER DIAGRAMS; VIRIAL EXPANSION;

STATISTICAL MECHANICS;

EID: 20044372932     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02704582     Document Type: Conference Paper

References (22)

1. J D van der Waals, Proc. Kon. Acad. V. Wetensch, Amsterdam, 1, 138 (1899)
2. L Boltzmann, Proc. Sect. Sci. K. Akad. Wet. (Amsterdam), 1899
3. J J van Laar, Proc. Kon. Acad. V. Wetensch, Amsterdam, 1, 273 (1899)
4. J S Rowlinson, Mol. Phys. 7, 593-594 (1964)
5. P C Hemmer, J. Chem. Phys. 42, 1116-1118 (1964)
6. N Clisby and B M McCoy, J. Stat. Phys. 114, 1343-1361 (2004)
7. I Lyberg, The fourth virial coefficient of a fluid of hard spheres in odd dimensions, cond-mat/0410080 (2004)
8. N Metropolis, A W Rosenbluth, M N Rosenbluth and A H Teller, J. Chem. Phys. 21, 1087-1092 (1953)
9. M N Rosenbluth and A W Rosenbluth, J. Chem. Phys. 22, 881-884 (1954)
10. F H Ree and W G Hoover, J. Chem. Phys. 40, 939-950 (1964)
11. F H Ree and W G Hoover, J. Chem. Phys. 41, 1635-1645 (1964)
12. F H Ree and W G Hoover, J. Chem. Phys. 46, 4181-4196 (1967)
13. E J Janse van Rensburg, J. Phys. A26, 4805-4818 (1993)
14. F H Ree and W G Hoover, J. Chem. Phys. 40, 2048-2049 (1964)
15. M Bishop, A Masters and J H R Clarke, J. Chem. Phys. 110, 11449-11453 (1999)
16. M Bishop, A Masters and A Y Vlasov, J. Chem. Phys. 121, 6884-6886 (2004)
17. N Clisby and B M McCoy, J. Stat. Phys. 114, 1361-1392 (2004)
18. N Clisby, Negative virial coefficients for hard spheres, Ph.D. thesis (Stony Brook University, Stony Brook, New York, 2004)
19. N Clisby and B M McCoy, Ninth and tenth order virial coefficients for hard spheres in D dimensions, cond-mat/0503525, J. Stat. Phys. (submitted)
20. K W Kratky, J. Stat. Phys. 27, 533-551 (1982)
21. D S Gaunt and G S Joyce, J. Phys. A13, L211-L216 (1980)
22. A J Guttmann, Asymptotic analysis of power-series expansions, in Phase transitions and critical phenomena edited by C Domb and J Lebowitz (Academic Press, 1989) vol. 13, ch. 1, pp. 1-234