Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 1, 2005, Pages

  Donev, Aleksandar ^a   Torquato, Salvatore ^a   Stillinger, Frank H ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL PACKINGS; HARD-SPHERE PACKINGS; JAMMED PACKINGS; PAIR CORRELATION FUNCTIONS;

COMPUTER SIMULATION; CORRELATION METHODS; CORRELATION THEORY; DATA REDUCTION; DEGREES OF FREEDOM (MECHANICS); FUNCTIONS; GRAPHIC METHODS; LINEARIZATION; PROBABILITY DISTRIBUTIONS; VECTORS;

CRYSTAL STRUCTURE;

EID: 37649027929     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.011105     Document Type: Article

References (38)

1. R. Zallen, The Physics of Amorphous Solids (Wiley, New York, 1983).
2. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer-Verlag, New York, 2002).
3. Z. W. Salsburg and W. W. Wood, J. Chem. Phys. 37, 798 (1962).
4. F. H. Stillinger and Z. W. Salsburg, J. Stat. Phys. 1, 179 (1969).
5. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, J. Comput. Phys. 197, 139 (2004).
6. S. Torquato and F. H. Stillinger, J. Phys. Chem. B 105, 11 849 (2001).
7. R. Connelly, Struct. Topol. 14, 43 (1988); see also Ref. [36].
8. R. Connelly, Invent. Math. 66, 11 (1982).
9. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, J. Appl. Phys. 95, 989 (2004).
10. M. D. Rintoul and S. Torquato, Phys. Rev. Lett. 77, 4198 (1996).
11. A. Ferguson, B. Fisher, and B. Chakraborty, Europhys. Lett. 66, 277 (2004).
12. A. Donev, S. Torquato, and F. H. Stillinger, J. Comput. Phys. 202, 737 (2005); 202, 765 (2005).
13. A. Donev, S. Torquato, and F. H. Stillinger, J. Comput. Phys. 202, 737 (2005); 202, 765 (2005).
14. J. Brujic, S. F. Edwards, I. Hopkinson, and H. A. Makse, Physica A 327, 201 (2003).
15. S. F. Edwards and D. V. Grinev, Phys. Rev. Lett. 82, 5397 (1999).
16. H. A. Makse, J. Brujic, and S. F. Edwards, The Physics of Granular Media (Wiley, New York, 2004).
17. L. E. Silbert, G. S. Grest, and J. W. Landry, Phys. Rev. E 66, 061303 (2002).
18. C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
19. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000).
20. A. R. Kansal, S. Torquato, and F. H. Stillinger, Phys. Rev. E 66, 041109 (2002); J. Chem. Phys. 117, 8212 (2002).
21. A. R. Kansal, S. Torquato, and F. H. Stillinger, Phys. Rev. E 66, 041109 (2002); J. Chem. Phys. 117, 8212 (2002).
22. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, Phys. Rev. E 70, 043301 (2004).
23. B. D. Lubachevsky and F. H. Stillinger, J. Stat. Phys. 60, 561 (1990); see also Ref. [22].
24. B. D. Lubachevsky, F. H. Stillinger, and E. N. Pinson, J. Stat. Phys. 64, 501 (1991), second part of Ref. [21].
25. R. J. Speedy, J. Phys.: Condens. Matter 10, 4387 (1998).
26. R. J. Speedy, Mol. Phys. 83, 591 (1994).
27. R. J. Speedy, J. Phys.: Condens. Matter 9, 8591 (1997).
28. T. Aste, M. Saadatfar, A. Sakellariou, and T. J. Senden, Physica A 339, 16 (2004).
29. L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, and D. Levine, Phys. Rev. E 65, 031304 (2002).
30. C. H. Bennett, J. Appl. Phys. 32, 2727 (1972).
31. C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 86, 111 (2001).
32. A. J. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, and T. A. Witten, Science 260, 513 (1995).
33. P. Metzger, Phys. Rev. E 70, 051303 (2004).
34. A. S. Clarke and H. Jonsson, Phys. Rev. E 47, 3975 (1993).
35. K. Kendall, C. S. F. van Swol, and L. V. Woodcock, Int. J. Thermophys. 23, 175 (2002).
36. D. L. Blair, N. W. Mueggenburg, A. H. Marshall, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 63, 041304 (2001).
37. J. H. Snoeijer, M. van Hecke, E. Somfai, and W. van Saarloos, Phys. Rev. E 67, 030302(R) (2003).
38. R. Connelly, Struct. Topol. 16, 57 (1991), second part of Ref. [7].