Non-equilibrium dynamics of spin facilitated glass models

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 7, 2007, Pages

  Léonard, Sébastien ^a   Mayer, Peter ^b   Sollich, Peter ^c   Berthier, Ludovic ^a   Garrahan, Juan P ^d  

^a CNRS   (France)

^b Columbia University ^*  (United States)

^c KING'S COLLEGE LONDON   (United Kingdom)

^d UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Coarsening processes (theory); Exact results; Slow dynamics and ageing (theory)

Indexed keywords

EID: 34547681897     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/07/P07017     Document Type: Article

References (146)

1. Donth E 2001 The Glass Transition (Berlin: Springer)
2. Young A P (ed) 1998 Spin Glasses and Random Fields (Singapore: World Scientific)
3. Cipelletti L and Ramos L 2005 J. Phys.: Condens. Matter 17 R253
4. Ritort F and Sollich P 2003 Adv. Phys. 52 219
5. Fredrickson G H and Andersen H C 1984 Phys. Rev. Lett. 53 1244
6. Jäckle J and Eisinger S 1991 Z. Phys. B 84 115
7. Fredrickson G H and Andersen H C 1985 J. Chem. Phys. 83 5822
8. Fredrickson G H and Brawer S A 1986 J. Chem. Phys. 84 3351
9. Fredrickson G H 1986 Ann. New York Acad. Sci. 484 185
10. Toninelli C, Biroli G and Fisher D S 2004 Phys. Rev. Lett. 92 185504
11. Toninelli C, Biroli G and Fisher D S 2005 J. Stat. Phys. 120 167
12. Butler S and Harrowell P 1991 J. Chem. Phys. 95 4454
13. Butler S and Harrowell P 1991 J. Chem. Phys. 95 4466
14. Harrowell P 1993 Phys. Rev. E 48 4359
15. Foley M and Harrowell P 1993 J. Chem. Phys. 98 5069
16. Ertel W, Froböse K and Jäckle J 1988 J. Chem. Phys. 88 5027
17. Reiter J, Mauch F and Jäckle J 1992 Physica A 184 458
18. Garrahan J P and Chandler D 2002 Phys. Rev. Lett. 89 035704
19. Ediger M D 2000 Ann. Rev. Phys. Chem. 51 99
20. Schulz M and Trimper S 1999 J. Stat. Phys. 94 173
21. Whitelam S, Berthier L and Garrahan J P 2004 Phys. Rev. Lett. 92 185705
22. Szamel G 2004 J. Chem. Phys. 121 3355
23. Whitelam S, Berthier L and Garrahan J P 2005 Phys. Rev. E 71 026128
24. Jack R L, Mayer P and Sollich P 2006 J. Stat. Mech. P03006
25. Jack R L, Garrahan J P and Chandler D 2006 J. Chem. Phys. 125 184509
26. Jack R L, Berthier L and Garrahan J P 2005 Phys. Rev. E 72 016103
27. Cancrini N, Martinelli F, Roberto C and Toninelli C 2007 J. Stat. Mech. L03001
28. Cancrini N, Martinelli F, Roberto C and Toninelli C 2006 Preprint math.PR/0610106
29. Berthier L, Biroli G, Bouchaud J-P, Kob W, Miyazaki K and Reichman D R 2007 J. Chem. Phys. 126 184503
30. Berthier L, Biroli G, Bouchaud J-P, Kob W, Miyazaki K and Reichman D R 2007 J. Chem. Phys. 126 184504
31. Berthier L and Garrahan J P 2003 Phys. Rev. E 68 041201
32. Berthier L and Garrahan J P 2003 J. Chem. Phys. 119 4367
33. Jung Y J, Garrahan J P and Chandler D 2004 Phys. Rev. E 69 061205
34. Van Ketel W, Das C and Frenkel D 2005 Phys. Rev. Lett. 94 135703
35. Berthier L, Chandler D and Garrahan J P 2005 Europhys. Lett. 69 320
36. Léonard S and Berthier L 2005 J. Phys.: Condens. Matter 17 S3571
37. Garrahan J P and Chandler D 2003 Proc. Nat. Acad. Sci. 100 9710
38. Toninelli C, Biroli G and Fisher D S 2006 Phys. Rev. Lett. 96 035702
39. Sellitto M, Biroli G and Toninelli C 2005 Europhys. Lett. 69 496
40. Berthier L and Garrahan J P 2005 J. Phys. Chem. B 109 3578
41. Geissler P L and Reichman D R 2005 Phys. Rev. E 71 031206
42. Moreno A J and Colmenero J 2006 J. Chem. Phys. 125 016101
43. Yamamoto R and Onuki A 1998 Phys. Rev. Lett. 81 4915
44. Benneman C, Donati C, Baschnagel J and Glotzer S C 1999 Nature 399 246
45. Lacevic N, Starr F W, Schroder T B and Glotzer S C 2003 J. Chem. Phys. 119 7372
46. Berthier L 2004 Phys. Rev. E 69 020201
47. Toninelli C, Wyart M, Biroli G, Berthier L and Bouchaud J-P 2005 Phys. Rev. E 71 041505
48. Szamel G and Flenner E 2006 Phys. Rev. E 74 021507
49. Qiu X H and Ediger M 2003 J. Phys. Chem. B 107 459
50. Berthier L, Biroli G, Bouchaud J-P, Cipelletti L, El Masri D, L'Hte D, Ladieu F and Pierno M 2005 Science 310 1797
51. Dauchot O, Marty G and Biroli G 2005 Phys. Rev. Lett. 95 265701
52. Lefèvre A, Berthier L and Stinchcombe R 2005 Phys. Rev. E 72 010301
53. Puertas A M, Fuchs M and Cates M E 2004 J. Chem. Phys. 121 2813
54. Weeks E, Crocker J C and Weitz D A 2007 J. Phys.: Condens. Matter 19 205131
55. Reichman D R, Rabani E and Geissler P L 2005 J. Phys. Chem. B 109 14654
56. Mayer P, Bissig H, Berthier L, Cipelletti L, Garrahan J-P, Sollich P and Trappe V 2004 Phys. Rev. Lett. 93 115701
57. Duri A and Cipelletti L 2006 Europhys. Lett. 76 972
58. Hurtado P I, Berthier L and Kob W 2007 Phys. Rev. Lett. 98 135503
59. Dibble C J, Kogan M and Solomon M J 2006 Phys. Rev. E 74 041403
60. Struik L C E 1978 Physical Aging in Amorphous Polymers and other Materials (Amsterdam: Elsevier)
61. Cugliandolo L F and Kurchan J 1993 Phys. Rev. Lett. 71 173
62. Cugliandolo L F and Kurchan J 1994 J. Phys. A: Math. Gen. 27 5749
63. Kurchan J and Laloux L 1996 J. Phys. A: Math. Gen. 29 1929
64. Cugliandolo L F, Kurchan J and Peliti L 1997 Phys. Rev. E 55 3898
65. Kurchan J 2005 Nature 433 222
66. Franz S, Mézard M, Parisi G and Peliti L 1998 Phys. Rev. Lett. 81 1758
67. Crisanti A and Ritort F 2003 J. Phys. A: Math. Gen. 36 R181
68. Grigera T S and Israeloff N E 1999 Phys. Rev. Lett. 83 5038
69. Abou B and Gallet F 2004 Phys. Rev. Lett. 93 160603
70. Wang P, Song C M and Makse H A 2006 Nat. Phys. 2 526
71. Bellon L, Ciliberto S and Laroche C 2001 Europhys. Lett. 53 511
72. Bellon L and Ciliberto S 2002 Physica D 168 325
73. Buisson L, Bellon L and Ciliberto S 2003 J. Phys.: Condens. Matter 15 S1163
74. Buisson L, Ciliberto S and Garcimartin A 2003 Europhys. Lett. 63 603
75. Nicodemi M 1999 Phys. Rev. Lett. 82 3734
76. Corberi F, De Candia A, Lippiello E and Zannetti M 2002 Phys. Rev. E 65 046114
77. Viot P, Talbot J and Tarjus G 2003 Fractals 11 185
78. Krzakala F 2005 Phys. Rev. Lett. 94 077204
79. Depken M and Stinchcombe R 2005 Phys. Rev. E 71 065102
80. Fielding S and Sollich P 2002 Phys. Rev. Lett. 88 050603
81. Cugliandolo L F and Kurchan J 1999 Phys. Rev. B 60 922
82. Fisher D S and Huse D A 1986 Phys. Rev. Lett. 56 1601
83. Fisher D S and Huse D A 1988 Phys. Rev. B 38 373
84. Fisher D S and Huse D A 1988 Phys. Rev. B 38 386
85. Jonason K, Vincent E, Hammann J, Bouchaud J P and Nordblad P 1998 Phys. Rev. Lett. 81 3243
86. Dupuis V, Vincent E, Bouchaud J-P, Hammann J and Ito A 2001 Phys. Rev. B 64 174204
87. Jönsson P E, Yoshino H and Nordblad P 2002 Phys. Rev. Lett. 89 097201
88. Bert F, Dupuis V, Vincent E, Hammann J and Bouchaud J-P 2004 Phys. Rev. Lett. 92 167203
89. Berthier L and Bouchaud J-P 2002 Phys. Rev. B 66 054404
90. Berthier L and Young A P 2005 Phys. Rev. B 71 214429
91. Barrat A and Berthier L 2001 Phys. Rev. Lett. 87 087204
92. Berthier L, Holdsworth P C W and Sellitto M 2001 J. Phys. A: Math. Gen. 34 1805
93. Castillo H E, Chamon C, Cugliandolo L F and Kennett M P 2002 Phys. Rev. Lett. 88 237201
94. Chamon C, Kennett M P, Castillo H E and Cugliandolo L F 2002 Phys. Rev. Lett. 89 217201
95. Castillo H E, Chamon C, Cugliandolo L F, Iguain J L and Kennett M P 2003 Phys. Rev. B 68 134442
96. Chamon C, Charbonneau P, Cugliandolo L F, Reichman D R and Sellitto M 2004 J. Chem. Phys. 121 10120
97. Xia X and Wolynes P G 2001 Phys. Rev. Lett. 86 5526
98. Tarjus G, Kivelson S A, Nussinov Z and Viot P 2005 J. Phys.: Condens. Matter 17 R1143
99. Biroli G and Bouchaud J-P 2004 Europhys. Lett. 67 21
100. Franz S 2005 J. Stat. Mech. P04001
101. Dzero M, Schmalian J and Wolynes P G 2005 Phys. Rev. B 72 100201
102. Franz S 2006 Europhys. Lett. 73 492
103. Montanari A and Semerjian G 2005 Phys. Rev. Lett. 94 247201
104. Montanari A and Semerjian G 2006 J. Stat. Phys. 124 103
105. Kob W and Andersen H C 1993 Phys. Rev. E 48 4364
106. Kurchan J, Peliti L and Sellitto M 1997 Europhys. Lett. 39 365
107. Sellitto M 1998 Eur. Phys. J. B 4 135
108. Barrat A, Kurchan J, Loreto V and Sellitto M 2000 Phys. Rev. Lett. 85 5034
109. Sellitto M 2001 Phys. Rev. E 63 060301
110. Sellitto M 2002 Phys. Rev. E 66 042101
111. Arenzon J J and Sellitto M 2004 Eur. Phys. J. B 42 543
112. Crisanti A, Ritort F, Rocco A and Sellitto M 2000 J. Chem. Phys. 113 10615
113. Crisanti A, Ritort F, Rocco A and Sellitto M 2002 J. Phys.: Condens. Matter 14 1523
114. Buhot A and Garrahan J P 2002 Phys. Rev. Lett. 88 225702
115. Buhot A 2003 J. Phys. A: Math. Gen. 36 12367
116. Sollich P and Evans M R 1999 Phys. Rev. Lett. 83 3238
117. Sollich P and Evans M R 2003 Phys. Rev. E 68 031504
118. Garrahan J P and Newman M E J 2000 Phys. Rev. E 62 7670
119. Sollich P, Fielding S and Mayer P 2002 J. Phys.: Condens. Matter 14 1683
120. Diezemann G 2007 J. Phys.: Condens. Matter 19 205107
121. Berthier L 2007 Phys. Rev. Lett. 98 220601
122. Chatelain C 2003 J. Phys. A: Math. Gen. 36 10739
123. Chatelain C 2004 J. Stat. Mech. P06006
124. Ricci-Tersenghi F 2003 Phys. Rev. E 68 065104
125. Mayer P, Léonard S, Berthier L, Garrahan J P and Sollich P 2006 Phys. Rev. Lett. 96 030602
126. Jack R L, Berthier L and Garrahan J P 2006 J. Stat. Mech. P12005
127. Mayer P and Sollich P 2007 J. Phys. A: Math. Theor. 40 5823
128. Graham I S, Piché L and Grant M 1993 J. Phys.: Condens. Matter 5 L349
129. Godrèche C and Luck J M 2000 J. Phys. A: Math. Gen. 33 9141
130. Stinchcombe R 2001 Adv. Phys. 50 431
131. Krebs K, Pfannmüller M P, Wehefritz B and Hinrichsen H 1995 J. Stat. Phys. 78 1429
132. Henkel M, Orlandini E and Santos J 1997 Ann. Phys. 259 163
133. Zhong D X and Ben-Avraham D 1995 J. Phys. A: Math. Gen. 28 33
134. Täuber U C, Howard M and Vollmayr-Lee B P 2005 J. Phys. A: Math. Gen. 38 R79
135. Henkel M, Orlandini E and Schütz G M 1995 J. Phys. A: Math. Gen. 28 6335
136. Mayer P, Berthier L, Garrahan J P and Sollich P 2003 Phys. Rev. E 68 016116
137. Mayer P, Berthier L, Garrahan J P and Sollich P 2004 Phys. Rev. E 70 018102
138. Bortz A B, Kalos M H and Lebowitz J L 1975 J. Comput. Phys. 17 10
139. Doi M 1976 J. Phys. A: Math. Gen. 9 1479
140. Peliti L 1985 J. Physique 46 1469
141. Lee B P 1994 J. Phys. A: Math. Gen. 27 2633
142. Täuber U C, Howard M and Vollmayr-Lee B P 2005 J. Phys. A: Math. Gen. 38 R79
143. Aldous D and Diaconis P 2002 J. Stat. Phys. 107 945
144. Derrida B, Godrèche C and Yekutieli I 1991 Phys. Rev. A 44 6241
145. Eisinger S and Jäckle J 1993 J. Stat. Phys. 73 643
146. Gradshteyn L S and Ryzhik I M 2000 Table of Integrals, Series, and Products (New York: Academic)