Relaxation times of kinetically constrained spin models with glassy dynamics

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 3, 2007, Pages

  Cancrini, Nicoletta ^a,b   Martinelli, Fabio ^c   Roberto, Cyril ^d   Toninelli, Cristina ^e  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b INFM   (Italy)

^c ROMA TRE UNIVERSITY   (Italy)

^d Champs sur Marne   (France)

^e UNIVERSITÉ PARIS SUD   (France)

Author keywords

Dynamical heterogeneities (theory); Ergodicity breaking (theory); Slow relaxation and glassy dynamics; Stochastic particle dynamics (theory)

Indexed keywords

EID: 37649032084     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/03/L03001     Document Type: Article

References (40)

1. De Benedetti P G and Stillinger F H 2001 Nature 410 267
2. Ediger M A 2000 Ann. Rev. Phys. Chem. 51 99
3. Weeks E R, Crocker J C, Levitt A C, Schofield A and Weitz D A 2000 Science 287 627
4. Trappe V, Prasad V, Cippelletti L, Segre P N and Weitz D A 2001 Nature 411 772
5. Marty G and Dauchot O 2005 Phys. Rev. Lett. 94 015701
6. Götze W 1989 Liquids, Freezing and Glass Transition (Les Houches) ed J P Hansen et al
7. Kirkpatrick T R, Thirumalai D and Wolynes P G 1989 Phys. Rev. A 40 1045
8. Reviews: Jackle J 2002 J. Phys.: Condens. Matter 14 1423
9. Ritort F and Sollich P 2003 Adv. Phys. 52 219
10. Fredrickson G H and Andersen H C 1984 Phys. Rev. Lett. 53 1244
11. Fredrickson G H and Andersen H C 1985 J. Chem. Phys. 84 5822
12. Buhot A and Garrahan J P 2001 Phys. Rev. E 64 21505
13. Jackle J and Eisinger S 1991 Z. Phys. B 84 115
14. Eisinger S and Jackle J 1993 J. Stat. Phys. 73 643
15. Sollich P and Evans M R 1999 Phys. Rev. Lett. 83 3238
16. Aldous D and Diaconis P 2002 J. Stat. Phys. 107 945
17. Garrahan J P and Chandler D 2002 Phys. Rev. Lett. 89 035704
18. Whitelam S, Berthier L and Garrahan J P 2004 Phys. Rev. Lett. 92 185705
19. Whitelam S, Berthier L and Garrahan J P 2005 Phys. Rev. E 71 026128
20. Berthier L and Garrahan J P 2003 J. Chem. Phys. 119 4367
21. Schulz M and Trimper S 1999 J. Stat. Phys. 94 173
22. Jack R, Mayer P and Sollich P 2006 J. Stat. Mech. P03006 [cond-mat/0601529]
23. Reiter J 1991 J. Chem. Phys. 95 544
24. Fredrickson G H and Brawer S A 1986 J. Chem. Phys. 84 3351
25. Graham I S, Piché L and Grant M 1993 J. Phys.: Condens. Matter 5 6491
26. Graham I S, Piché L and Grant M 1997 Phys. Rev. E 55 2132
27. Harrowell P 1993 Phys. Rev. E 48 4359
28. Fredrickson G H 1988 Ann. Rev. Phys. Chem. 39 149
29. Zheng B, Schulz M and Trimper S 1999 Phys. Rev. B 59 6717
30. Butler S and Harrowell P 1991 J. Chem. Phys. 95 4466
31. Einax M and Schulz M 2001 J. Chem. Phys. 115 2282
32. Reiter J, Mauch F and Jackle J 1992 Physica A 184 493
33. Schonmann R H 1992 Ann. Probab. 20 174
34. Toninelli C, Biroli G and Fisher D S 2006 Phys. Rev. Lett. 96 035702 [cond-mat/0512335]
35. Cancrini N, Martinelli F, Roberto C and Toninelli C 2006 Preprint math/0610106
36. Martinelli F 1999 Lect. Notes Math. 1717 93
37. Aizenmann M and Lebowitz J L 1998 J. Phys. A: Math. Gen. 21 3801
38. Holroyd A E 2003 Probab. Th. Rel. Fields 125 195
39. Cerf R and Manzo F 2002 Stoch. Proc. Appl. 101 69
40. Toninelli C, Wyart M, Berthier L, Biroli G and Bouchaud J P 2005 Phys. Rev. E 71 041505