Some recent theoretical results on amorphous packings of hard spheres

Philosophical Magazine

Volumn 87, Issue 3-5, 2007, Pages 485-495

  Zamponi, F ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BINARY MIXTURES; COMPUTER SIMULATION; EQUATIONS OF STATE; GLASS;

HARD SPHERES; METASTABLE STATES; REPLICA METHOD;

AMORPHOUS MATERIALS;

EID: 33847169373     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430600838304     Document Type: Conference Paper

References (50)

1. J.G. Berryman, Phys. Rev. A 27 1053 (1983).
2. G.D. Scott and D.M. Kilgour, Brit. J. Appl. Phys. (J. Phys. D) 2 863 (1969).
3. J.L. Finney, Proc. R. Soc. London, Ser. A 319 479 (1970).
4. C.H. Bennett, J. Appl. Phys. 43 2727 (1972).
5. A.J. Matheson, J. Phys. C: Solid State Phys. 7 2569 (1974).
6. M.J. Powell, Phys. Rev. B 20 4194 (1979).
7. S. Alexander, Phys. Rep. 296 65 (1998).
8. L.E. Silbert, D.E. Ertas, G.S. Grest, T.C. Halsey, and D. Levine, Phys. Rev. E 65 031304 (2002).
9. S. Torquato, Phys. Rev. Lett. 74 2156 (1995).
10. M.D. Rintoul and S. Torquato, J. Chem. Phys. 105 9258 (1996).
11. R.J. Speedy, Mol. Phys. 95 169 (1998).
12. S. Torquato, T.M. Truskett and P.G. Debenedetti, Phys. Rev. Lett. 84 2064 (2000).
13. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer-Verlag, New York, 2002).
14. A. Donev, S. Torquato and F.H. Stillinger, Phys. Rev. E 71 011105 (2005).
15. N. Xu, J. Blawzdziewicz and C.S. O'Hern, Phys. Rev. E 71 061306 (2005).
16. C.S. O'Hern, S.A. Langer, A.J. Liu and S.R. Nagel, Phys. Rev. Lett. 88 075507 (2002).
17. L. Angelani, G. Foffi and F. Sciortino, cond-mat/0506447.
18. J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups (Springer-Verlag, New York, 1993).
19. C.A. Rogers, Packing and Covering (Cambridge University Press, Cambridge, 1964).
20. M. Mézard and G. Parisi, J. Chem. Phys. 111 1076 (1999).
21. M. Mézard and G. Parisi, Phys. Rev. Lett. 82 747 (1999).
22. M. Mézard and G. Parisi, J. Phys.: Condens. Matter 12 6655 (2000).
23. B. Coluzzi, M. Mézard, G. Parisi and P. Verrocchio, J. Chem. Phys. 111 9039 (1999).
24. M. Cardenas, S. Franz and G. Parisi, J. Phys. A 31 L163 (1998).
25. M. Cardenas, S. Franz and G. Parisi, J. Chem. Phys. 110 1726 (1999).
26. G. Parisi and F. Zamponi, J. Chem. Phys. 123 144501 (2005).
27. G. Parisi and F. Zamponi, J. Stat. Mech. P03017 (2006).
28. M. Pica Ciamarra, M. Tarzia, A. de Candia and A. Coniglio, Phys. Rev. E 67 057105 (2003).
29. G. Parisi and F. Zamponi, cond-mat/0602661,
30. to appear on J. Stat. Phys. (2006).
31. M. Mézard, G. Parisi and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
32. T.R. Kirkpatrick and P.G. Wolynes, Phys. Rev. A 35 3072 (1987).
33. T.R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. 58 2091 (1987).
34. D.J. Gross and M. Mézard, Nucl. Phys. B 240 431 (1984).
35. R. Monasson, Phys. Rev. Lett. 75 2847 (1995).
36. J.-P. Hansen and I.R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
37. A. Cavagna, A. Attanasi and J. Lorenzana, Phys. Rev. Lett. 95 115702 (2005).
38. J. Kurchan, private communication
39. D. Henderson, Mol. Phys. 30 971 (1975).
40. S. Luding, Phys. Rev. E 63 042201 (2001).
41. L. Santen and W. Krauth, Nature 405 550 (2000).
42. C. Brito and M. Wyart, cond-mat/0512197.
43. H.L. Frisch and J.K. Percus, Phys. Rev. E 60 2942 (1999).
44. G. Parisi and F. Slanina, Phys. Rev. E 62 6554 (2000).
45. S. Torquato and F.H. Stillinger, Phys. Rev. E 73, 031106 (2006).
46. S. Torquato and F.H. Stillinger, J. Exp. Math., in press.
47. K. Dawson, G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, Th. Voigtmann, and E. Zaccarelli, Phys. Rev. E 63 01141 (2001).
48. F. Sciortino, P. Tartaglia and E. Zaccarelli, Phys. Rev. Lett. 91 268301 (2003).
49. F. Sciortino, Nature Materials 1 145 (2002).
50. A. Velenich, A. Parola and L. Reatto, cond-mat/0605466.