Nonequilibrium critical dynamics of the two-dimensional XY model

Journal of Physics A: Mathematical and General

Volumn 34, Issue 9, 2001, Pages 1805-1824

  Berthier, Ludovic ^a,b   Holdsworth, Peter C W ^b   Sellitto, Mauro ^b  

^a UNIVERSITÉ LYON 1   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035831415     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/9/301     Document Type: Article

References (68)

1. Bouchaud J-P, Cugliandolo L F, Kurchan J and Mézard M 1998 Spin Glasses and Random Fields ed A P Young (Singapore: World Scientific)
2. Cugliandolo L F and Kurchan J 1993 Phys. Rev. Lett. 71 173
3. Cugliandolo L F and Kurchan J 1994 J. Phys. A: Math. Gen. 27 5749 Cugliandolo L F and Kurchan J 1995 Phil. Mag. B 71 501
4. Cugliandolo L F and Kurchan J 1994 J. Phys. A: Math. Gen. 27 5749 Cugliandolo L F and Kurchan J 1995 Phil. Mag. B 71 501
5. Franz S and Mézard M 1994 Europhys. Lett. 26 209 Franz S and Mézard M 1994 Physica A 210 48
6. Franz S and Mézard M 1994 Europhys. Lett. 26 209 Franz S and Mézard M 1994 Physica A 210 48
7. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
8. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
9. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
10. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
11. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
12. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
13. Barrat A 1998 Phys. Rev. E 57 3629 Berthier L, Barrat J-L and Kurchan J 1999 Eur. Phys. J. B 11 635 Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. 28 4213 Cannas S A, Stariolo D A and Tamarit F A 2000 Preprint cond-mat/0010319 Berthier L 2000 Eur. Phys. J. B 17 689 Stariolo D A and Cannas S A 1999 Phys. Rev. B 60 3013 Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Eur. Phys. J. B 11 317
14. Franz S, Mézard M, Parisi G and Peliti L 1998 Phys. Rev. Lett. 81 1758 Franz S, Mézard M, Parisi G and Peliti L 1999 J. Stat. Phys. 97 459
15. Franz S, Mézard M, Parisi G and Peliti L 1998 Phys. Rev. Lett. 81 1758 Franz S, Mézard M, Parisi G and Peliti L 1999 J. Stat. Phys. 97 459
16. Parisi G 1983 Phys. Rev. Lett. 50 1946
17. Marinari E, Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J. 1998 J. Phys. A: Math. Gen. 31 2611
18. Zarzicki J 1991 Glasses and the Vitreous State (Cambridge: Cambridge University Press)
19. Struik L C E 1978 Physical Aging in Amorphous Polymers and Other Materials (Houston: Elsevier)
20. Sellitto M 1998 Eur. Phys. J. B 4 135
21. Godrèche C and Luck J M 2000 J. Phys. A: Math. Gen. 33 1151 Godrèche C and Luck J M 2000 J. Phys. A: Math. Gen. 33 9141
22. Godrèche C and Luck J M 2000 J. Phys. A: Math. Gen. 33 1151 Godrèche C and Luck J M 2000 J. Phys. A: Math. Gen. 33 9141
23. Lippiello E and Zannetti M 2000 Phys. Rev. E 61 3369 Corberi F, Lippiello E and Zannetti M 2000 Preprint cond-mat/0007021
24. Lippiello E and Zannetti M 2000 Phys. Rev. E 61 3369 Corberi F, Lippiello E and Zannetti M 2000 Preprint cond-mat/0007021
25. Hohenberg P C and Halperin B I 1977 Rev. Mod. Phys. 49 485
26. Ma S K 1976 Modern Theory of Critical Phenomena (New York: Benjamin)
27. Janssen H K, Schaub B and Schmittmann B 1989 Z. Phys. B 73 539
28. Bray A J 1994 Adv. Phys. 43 357
29. Binder K 1992 Computational Methods in Field Theory ed H Gauslever and C B Lang (Berlin: Springer) Binder K 1981 Z. Phys. B 43 119
30. Binder K 1992 Computational Methods in Field Theory ed H Gauslever and C B Lang (Berlin: Springer) Binder K 1981 Z. Phys. B 43 119
31. Kosterlitz J M and Thouless D J 1973 J. Phys. C: Solid State Phys. 6 1181
32. Iñiguez D, Marinari E, Parisi G and Ruiz-Lorenzo J J 1997 J. Phys. A: Math. Gen. 30 7337
33. Bouchaud J-P and Mézard M 1997 J. Phys. A: Math. Gen. 30 7997
34. Bramwell S T, Christensen K, Fortin J-Y, Holdsworth P C W, Jensen H J, Lise S, López J, Nicodemi M, Pinton J-F and Sellitto M 2000 Phys. Rev. Lett. 84 3744
35. Bramwell S T, Fortin J-Y, Holdsworth P C W, Peysson S, Portelli B, Pinton J-F and Sellitto M 2001 Phys. Rev. E at press (Bramwell S T, Fortin J-Y, Holdsworth P C W, Peysson S, Portelli B, Pinton J-F and Sellitto M 2000 Preprint cond-mat/0008093)
36. Bramwell S T, Fortin J-Y, Holdsworth P C W, Peysson S, Portelli B, Pinton J-F and Sellitto M 2001 Phys. Rev. E at press (Bramwell S T, Fortin J-Y, Holdsworth P C W, Peysson S, Portelli B, Pinton J-F and Sellitto M 2000 Preprint cond-mat/0008093)
37. Bramwell S T, Holdsworth P C W and Pinton J-F 1998 Nature 396 552
38. Bray A J, Briant A J and Jervis D K 2000 Phys. Rev. Lett. 84 1503 Bray A J 2000 Phys. Rev. E 62 103
39. Bray A J, Briant A J and Jervis D K 2000 Phys. Rev. Lett. 84 1503 Bray A J 2000 Phys. Rev. E 62 103
40. Rutenberg A D and Bray A J 1995 Phys. Rev. E 51 R1641
41. Rojas F and Rutenberg A D 1999 Phys. Rev. E 60 212
42. Leoncini X, Verga A D and Ruffo S 1998 Phys. Rev. E 57 6377
43. Mondello M and Goldenfeld N 1990 Phys. Rev. A 42 5865
44. Lee J-R, Lee S J and Kim B 1995 Phys. Rev. E 52 1550
45. Yurke B, Pargellis A N, Kovacs T and Huse D A 1993 Phys. Rev. E 47 1525
46. Mazenko G F and Wickham R A 1998 Phys. Rev. E 57 2539 Mazenko G F and Wickham R A 1997 Phys. Rev. E 55 5113
47. Mazenko G F and Wickham R A 1998 Phys. Rev. E 57 2539 Mazenko G F and Wickham R A 1997 Phys. Rev. E 55 5113
48. Cugliandolo L F, Kurchan J and Parisi G 1994 J. Physique I 4 1641
49. Archambault P, Bramwell S T and Holdsworth P C W 1997 J. Phys. A: Math. Gen. 30 8363
50. Pokrovsky V L and Uimin G V 1973 Phys. Lett. A 45 467
51. Cugliandolo L F, Kurchan J and Peliti L 1997 Phys. Rev. E 55 3898
52. Gupta R and Baillie C F 1992 Phys. Rev. B 45 2883
53. Vincent É, Hammann J, Ocio M, Bouchaud J-Ph and Cugliandolo L F 1997 Complex Behaviour of Glassy Systems ed M Rubi (Berlin: Springer) Nordblad P and Svendlidh P 1998 Spin Glasses and Random Fields ed A P Young (Singapore: World Scientific)
54. Vincent É, Hammann J, Ocio M, Bouchaud J-Ph and Cugliandolo L F 1997 Complex Behaviour of Glassy Systems ed M Rubi (Berlin: Springer) Nordblad P and Svendlidh P 1998 Spin Glasses and Random Fields ed A P Young (Singapore: World Scientific)
55. Andersson J-O, Mattsson J and Svedlindh P 1992 Phys. Rev. B 46 8297 Franz S and Rieger H 1995 J. Stat. Phys. 79 749 Marinari E, Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 2000 J. Phys. A: Math. Gen. 33 2373
56. Andersson J-O, Mattsson J and Svedlindh P 1992 Phys. Rev. B 46 8297 Franz S and Rieger H 1995 J. Stat. Phys. 79 749 Marinari E, Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 2000 J. Phys. A: Math. Gen. 33 2373
57. Andersson J-O, Mattsson J and Svedlindh P 1992 Phys. Rev. B 46 8297 Franz S and Rieger H 1995 J. Stat. Phys. 79 749 Marinari E, Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 2000 J. Phys. A: Math. Gen. 33 2373
58. Berthier L, Barrat J-L and Kurchan J 2001 Phys. Rev. E 63 016105 (Berthier L, Barrat J-L and Kurchan J 2000 Preprint cond-mat/0006161)
59. Berthier L, Barrat J-L and Kurchan J 2001 Phys. Rev. E 63 016105 (Berthier L, Barrat J-L and Kurchan J 2000 Preprint cond-mat/0006161)
60. Mézard M, Parisi G and Virasoro M A 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
61. Marinari E, Parisi G and Ruiz-Lorenzo J J 1998 Spin Glasses and Random Fields ed A P Young (Singapore: World Scientific)
62. Kisker J, Santen L, Schreckenberg M and Rieger H 1996 Phys. Rev. B 53 6418
63. Mélin R 1997 Ann. Phys., Paris 22 233 Mélin R, Anglès d'Auriac J C, Chandra P and Douçot B 1996 J. Phys. A: Math. Gen. 29 5773
64. Mélin R 1997 Ann. Phys., Paris 22 233 Mélin R, Anglès d'Auriac J C, Chandra P and Douçot B 1996 J. Phys. A: Math. Gen. 29 5773
65. Bouchaud J-P 2000 Soft and Fragile Matter, Nonequilibrium Dynamics, Metastability and Flow ed M E Cates and M R Evans (Bristol: Institute of Physics) (Bouchaud J-P 1999 Preprint cond-mat/9910387)
66. Bouchaud J-P 2000 Soft and Fragile Matter, Nonequilibrium Dynamics, Metastability and Flow ed M E Cates and M R Evans (Bristol: Institute of Physics) (Bouchaud J-P 1999 Preprint cond-mat/9910387)
67. Jonason K, Vincent É, Hammann J, Bouchaud J-P and Nordblad P 1998 Phys. Rev. Lett. 81 3243
68. Yoshino H, Lemaître A and Bouchaud J-P 2000 Preprint cond-mat/0009152 (Eur. Phys. J. B, at press)