Tilings of space and superhomogeneous point processes

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

Volumn 77, Issue 3, 2008, Pages

  Gabrielli, A ^a,b   Joyce, M ^c   Torquato, S ^d  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b ISC CNR   (Italy)

^c UNIVERSITÉ PARIS DIDEROT   (France)

^d PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MASS MOMENTS; SUPERHOMOGENEOUS POINT PROCESSES;

CORRELATION METHODS; COSMOLOGY; GAMMA RAYS;

TILE;

EID: 41549153373     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.031125     Document Type: Article

References (29)

1. A. Gabrielli, M. Joyce, and F. Sylos Labini, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.65.083523 65, 083523 (2002).
2. S. Torquato and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041113 68, 041113 (2003)
3. S. Torquato and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.069901 68, 069901 (E) (2003). Note that the horizontal axis of Fig. 9 in this paper is mislabeled: r/ (2R) should be r/R.
4. R. P. Feynman, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.262 94, 262 (1954).
5. R. P. Feynman and M. Cohen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.102.1189 102, 1189 (1956).
6. L. Reatto and G. Chester, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.155.88 155, 88 (1967).
7. A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.090604 95, 090604 (2005).
8. M. Baus and J.-P. Hansen, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(80)90022-8 59, 1 (1980).
9. A. Gabrielli, B. Jancovici, M. Joyce, J. L. Lebowitz, L. Pietronero, and F. Sylos Labini, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.043506 67, 043506 (2003).
10. M. Joyce, D. Levesque, and B. Marcos, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.72.103509 72, 103509 (2005).
11. S. Hansen, O. Agertz, M. Joyce, J. Stadel, B. Moore, and D. Potter, Astrophys. J. 656, 631 (2007). 0004-637X
12. A. Gabrielli, F. Sylos Labini, M. Joyce, and L. Pietronero, Statistical Physics for Cosmic Structures (Springer, Berlin, 2004).
13. Y. B. Zeldovich, Adv. Astron. Astrophys. AAYAAK 0065-2180 3, 241 (1965).
14. P. J. E. Peebles, The Large-Scale Structure of the Universe (Princeton University Press, Princeton, 1980).
15. O. U. Uche, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046122 70, 046122 (2004).
16. O. U. Uche, S. Torquato, and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031104 74, 031104 (2006).
17. A. Gabrielli, M. Joyce, B. Marcos, and P. Viot, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10150-y 66, 1 (2004).
18. P. Fratzl, J. L. Lebowitz, O. Penrose, and J. Amar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.4794 44, 4794 (1991).
19. A. Gabrielli and S. Torquato, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.041105 70, 041105 (2004).
20. A. Gabrielli and M. Joyce, e-print arXiv:0711.0270.
21. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer-Verlag, New York, 2002).
22. C. Radin, Not. Am. Math. Soc. AMNOAN 0002-9920 42, 26 (1995).
23. J. Conway and C. Radin, Invent. Math. INVMBH 0020-9910 10.1007/s002220050221 132, 179 (1998).
24. J. Wang and S. White, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 10.1111/j.1365-2966.2007.12053.x 380, 93 (2007).
25. C. Radin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004516030941 95, 827 (1999).
26. J. Robinson and B. D. Wandelt, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.53.618 53, 618 (1996).
27. A. Gabrielli, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066131 70, 066131 (2004).
28. M. Joyce and B. Marcos, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.063516 75, 063516 (2007).
29. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2064 84, 2064 (2000).