Jamming percolation and glassy dynamics

Journal of Statistical Physics

Volumn 126, Issue 4-5, 2007, Pages 731-763

  Toninelli, Cristina ^a   Biroli, Giulio ^b  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b CEA SACLAY   (France)

Author keywords

Bootstrap percolation; Glassy dynamics; Jamming transition; Kinetically constrained lattice gases

Indexed keywords

EID: 34047232206     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9177-9     Document Type: Conference Paper

References (76)

1. P. G. De Benedetti and F. H. Stillinger, Nature 410:267 (2001).
2. E. R. Weeks, et al., Science 287:627 (2000);
3. V. Trappe, et al., Nature 411:722 (2001).
4. M. A. Ediger, Ann. Rev. Phys. Chem. 51:99 (2000);
5. E. Vidal-Russel and N. E. Israeloff, Nature 408:695 (2000);
6. L. A. Desehenes and D. A. Vande Bout, Science 292:255 (2001);
7. L. Berthier, et al., Science 310:1797 (2005);
8. C. Bennemann, et al., Nature 399:246 (1999);
9. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. 95:265701 (2005).
10. T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. Lett. 58:2091 (1987);
11. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 40:1045 (1989).
12. J.-P. Bouchaud and G. Biroli, J. Chem. Phys. 121:7347 (2004).
13. X. Xia and P. G. Wolynes, PNAS 97:2990 (2000), and references therein.
14. M. Dzero, J. Schmalian, and P. G. Wolynes, cond-mat/0502011.
15. S. Franz, Europhys. Lett. 73:492 (2006).
16. M. A. Moore, cond-mat 060241.
17. J. Jackle, J. Phys. Cond. Matter. 14:1423 (2002).
18. F. Ritort and P. Sollich, Adv. Phys. 52:219 (2003).
19. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 53:1244 (1984);
20. J. Chem. Phys. 84:5822 (1985).
21. J. Jackle and S. Eisinger, Z. Phys. B: Cond. Mat. 84:115 (1991).
22. W. Kob and H. C. Andersen, Phys. Rev. E 48:4364 (1993).
23. P. Sollich and M. Evans, Phys. Rev. Lett. 83:3238 (1999).
24. D. Aldous and P. Diaconis, J. Stat. Phys. 107:845 (2002).
25. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. 89:035704 (2002).
26. S. Whitelam, L. Berthier, and J. P. Garrahan, Phys. Rev. Lett. 92:185705 (2004);
27. Phys. Rev. E 71:026128 (2005).
28. L. Berthier and J. P. Garrahan, J. Chem. Phys. 119:4367 (2003).
29. R. Jack, P. Mayer, and P. Sollich, cond-mat/0601529.
30. J. P. Garrahan and D. Chandler, Proc. Natl Acad. Sci. 100:9710 (2003).
31. J. Reiter, J. Chem. Phys. 95, 544 (1991).
32. G. H. Fredrickson and S. A. Brawer, J. Chem. Phys. 84:3351 (1986).
33. M. Einax and M. Schulz, J. Chem. Phys. 115:2282 (2001).
34. I. S. Graham, L. Piche and M. Grant, J. Phys. Cond. Matt. 5:6491 (1993);
35. Phys. Rev. E 55:2132 (1997).
36. P. Harrowell, Phys. Rev. E 48:4359 (1993).
37. G. H. Fredrickson, Ann. N. Y. Acad. Sci. 484:185 (1986).
38. S. Butler and P. Harrowell, J. Chem. Phys. 95:4466 (1991).
39. C. Toninelli, G. Biroli, and D. S. Fisher, in preparation.
40. L. Berthier, G. Biroli, and C. Toninelli, in preparation.
41. J. Reiter, F. Mauch, and J. Jackle, Physica A 184:493 (1992).
42. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 92:185504 (2004);
43. J. Stat. Phys. 120:167 (2005).
44. C. Toninelli, G. Biroli, and D. S. Fisher, Phys. Rev. Lett. 96:035702 (2006).
45. C. Toninelli and G. Biroli, cond-mat/0512335.
46. L. Bertini and C. Toninelli, J. Stat. Phys. 117:549-580 (2004).
47. C. Toninelli and G. Biroli, J. Stat. Phys. 117:27-54 (2004).
48. N. Cancrini, F. Martinelli, C. Roberto, and C. Toninelli, in preperation.
49. .T.-P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Mezard, in Spin-Glasses and Random Fields, edited by A. P. Young (World Scientific, 1997).
50. J. Chalupa, P. L. Leath, and R. Reich, J. Phys. C: Solid State Phys. 12:L31 (1979).
51. B. Pittel, J. Spencer, and N. Wormald, J. Comb. Th. B 67:111 (1996).
52. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. 96:040601 (2006).
53. J. M. Schwarz, A. ,T. Liu, and L. Q. Chayes, Europhys. Lett. 73:560 (2006).
54. M. Sellitto, G. Biroli, and C. Toninelli, Europhys. Lett. 69(4):496 (2005).
55. G. Biroli and J.-P. Bouchaud, Europhys. Lett. 67:21 (2004).
56. G. Biroli, J. -P. Bouchaud, K. Miyazaki, and D. R. Reichman, Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids, cond-mat/0605733.
57. S. Franz and G. Parisi, J. Phys.: Cond. Matter 12:6335 (2000).
58. E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. 89:095704 (2002);
59. Chem. Phys. 284:361 (2002).
60. G. Marty and O. Dauchot, Phys. Rev. Lett. 94:015701 (2005).
61. H. Hinrichsen, Adv. Phys. 49:815 (2000).
62. Abdelaziz Amraoui, Andrea Montanari, Tom Richardson, and Rudiger Urbanke, 42nd Allerton Conference on Communication, Control and Computing, cs.IT/0410019. A. Dembo and A. Montanari, in preparation.
63. L. Berthier, Phys. Rev. Lett. 91:055701 (2003).
64. W. Kob, in Slow relaxations and nonequilibrium dynamics in condensed matter, vol. Session LXXVII of Les Houches Summer School (ed. J.-L. Barrat, M. Feigelman and J. Kurchan), published by EDP Sciences and Springer.
65. H. Spohn, Large Sale Dyanmics of Interacting Particles (Springer, Berlin, 1991).
66. A. Montanari and G. Semerjian, Rigorous Inequalities between Length and Time Scale in Glassy Systems, cond-mat/0603018.
67. .T. Adler, Physica A 171:435 (1991).
68. M. Aizenmann and J. L. Lebowitz, J. Phys. A 21:3801 (1988).
69. R. H. Schonmann, Ann. Probab. 20:174-193 (1992).
70. H. Spohn, J. Stat. Phys. 59:1227 (1990);
71. Physica A 163:134 (1990).
72. C. Kipnis and S. R. S. Varadhan, Comm. Math. Phys. 104:1 (1986).
73. C. Kipnis and C. Landim, Scaling Limits of Interacting Particle Systems, Grundlheren der Mathematischen Wissenschaften 320 (Springer-Verlag, Berlin, New York, 1999).
74. P. Goncalves, C. Landim, and C. Toninelli, in preparation.
75. J. Kurchan, L. Peliti, and M. Sellitto, Europhys. Lett. 39:365 (1997).
76. P. De Gregorio, A. Lawlor, P. Bradley, and K. A. Dawson, Phys. Rev. Lett. 93:025501 (2004).