Structure factor for hard hyperspheres in higher dimensions

Journal of Chemical Physics

Volumn 126, Issue 22, 2007, Pages

  Whitlock, Paula A ^a   Bishop, Marvin ^b   Tiglias, John L ^b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b MANHATTAN COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FOURIER TRANSFORM INFRARED SPECTROSCOPY; MATHEMATICAL MODELS; STRUCTURE (COMPOSITION);

HYPERSPHERES; PERCUS-YEVICK EQUATIONS; STRUCTURE FACTOR;

FREEZING;

EID: 34250746422     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2743031     Document Type: Article

References (38)

1. D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976).
2. M. Bishop, P. A. Whitlock, and D. Klein, J. Chem. Phys. 122, 074508-1 (2005).
3. M. Bishop and P. A. Whitlock, J. Chem. Phys. 123, 014507-1 (2005).
4. M. Bishop and P. A. Whitlock, J. Stat. Phys. 126, 299 (2007).
5. M. Skoge, A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. E 74, 041127-1 (2006).
6. H. L. Frisch, N. Rivier, and D. Wyler, Phys. Rev. Lett. 54, 2061 (1985).
7. H. L. Frisch and J. K. Percus, Phys. Rev. A 35, 4696 (1987).
8. H. L. Frisch and J. K. Percus, Phys. Rev. E 60, 2942 (1999).
9. S. Torquato and F. H. Stillinger, Exp. Math. 15, 307 (2006).
10. S. Torquato and F. H. Stillinger, Phys. Rev. E 73, 031106-1 (2006).
11. S. Torquato, O. U. Uche, and F. H. Stillinger, Phys. Rev. E 74, 061308-1 (2006).
12. L. S. Ornstein and F. Zernike, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen XVII, 793 (1914).
13. I. N. Snedden, Fourier Transforms (McGraw-Hill, New York, 1951).
14. M. Abramowitx and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
15. J. K. Percus and G. Yevick, Phys. Rev. 110, 1 (1958).
16. E. Leutheusser, Physica A 127A, 667 (1984).
17. E. Leutheusser, J. Chem. Phys. 84, 1050 (1986).
18. Y. Rosenfeld, J. Chem. Phys. 87, 4865 (1987).
19. J. L. Colot and M. Baus, Phys. Lett. A 119, 135 (1986).
20. P. A. Whitlock, M. Bishop, and D. Klein, Small Web Computing Applied to Distributed Monte Carlo Calculations, Lecture Notes in Computer Science Vol. No. 3993, edited by, V. N. Alexandrov, G. D. van Albada, P. M. A. Sloot, and, J. Dongarra, (Springer, Heidelberg, 2006).
21. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flamery, Numerical Recipes (Cambridge University Press, New York, 1992).
22. P. R. Bevington, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, New York, 1969).
23. J. G. Kirkwood, J. Chem. Phys. 7, 919 (1939).
24. A. A. Broyles, S. U. Chung, and H. L. Sahlin, J. Chem. Phys. 37, 2462 (1962).
25. L. Verlet, Phys. Rev. 165, 201 (1968).
26. D. M. Ceperley and G. V. Chester, Phys. Rev. A 15, 755 (1977).
27. P. A. Whitlock, D. M. Ceperley, G. V. Chester, and M. H. Kalos, Phys. Rev. B 19, 5598 (1979). Note that there is a typographical error in Eq. (C1). The functional form should be similar to Eq. (17).
28. S. Torquato and F. H. Stillinger, J. Phys. Chem. B 106, 8354 (2002).
29. M. Luban and J. P. J. Michels, Phys. Rev. A 41, 6796 (1990).
30. M. Robles, M. L. de Haro, and A. Santos, J. Chem. Phys. 120, 9113 (2004).
31. R. Finken, M. Schmidt, and H. Löwen, Phys. Rev. E 65, 016108-1 (2001).
32. L. Lue and M. Bishop, Phys. Rev. E 74, 021201-1 (2006).
33. M. S. Wertheim, J. Math. Phys. 5, 643 (1964).
34. E. Thiel, J. Chem. Phys. 39, 474 (1963).
35. M. S. Wertheim, Phys. Rev. Lett. 10, 321 (1963).
36. N. W. Ashcroft and J. Lekner, Phys. Rev. 145, 83 (1966).
37. B. C. Freasier and D. J. Isbister, Mol. Phys. 42, 927 (1981).
38. M. Robles, M. L. de Haro, and A. Santos, J. Chem. Phys. 126, 016101-1 (2007).