Large time nonequilibrium dynamics of a particle in a random potential

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 2, 1996, Pages 1525-1552

  Cugliandolo, Leticia F ^a   Le Doussal, Pierre ^b  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000753088     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1525     Document Type: Article

References (84)

1. For a recent review see, e.g., G. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin and V. M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994). %
2. J. Cardy and S. Ostlund, Phys. Rev. B 25, 6899 (1982).
3. J. Toner and D. di Vincenzo, Phys. Rev. B 41, 632 (1990).
4. Y. Y. Goldschmidt and B. Schaub, Nucl. Phys. B 251, 77 (1985).
5. Y. C. Tsai and Y. Shapir, Phys. Rev. Lett. 69, 1773 (1992).
6. Y. C. Tsai and Y. Shapir, Phys. Rev. E 50, 3546 (1994)
7. Y. C. Tsai and Y. Shapir, Phys. Rev. E 50, 4445 (1994).
8. T. Hwa and D. S. Fisher, Phys. Rev. Lett. 72, 2466 (1994).
9. G. G. Batrouni and T. Hwa, Phys. Rev. Lett. 72, 4133 (1994).
10. D. Cule and Y. Shapir, Phys. Rev. Lett. 74, 114 (1995), and (unpublished).
11. E. Marinari, R. Monasson, and J. Ruiz Lorenzo (unpublished).
12. H. Rieger (unpublished).
13. E. Medina, T. Hwa, M. Kardar and Y. C. Zhang, Phys. Rev. A 39, 3059 (1989).
14. M. Mézard and G. Parisi, J. Phys. A 23, L1229 (1990).
15. J. Phys. (France) I 1, 809 (1991)
16. J. Phys. (France) I 2, 2231 (1992).
17. P. Le Doussal and T. Giamarchi, Phys. Rev. Lett. 72, 1530 (1994).
18. P. Le Doussal and T. Giamarchi, Phys. Rev. B 52, 1242 (1995)
19. S. E. Korshunov, Phys. Rev. B 48, 3969 (1993).
20. L. C. E. Struik, Physical Aging in Amorphous Polymers and other Materials (Elsevier, Houston, 1978).
21. L. Lundgren, P. Svedlindh, P. Nordblad and O. Beckman, Phys. Rev. Lett. 51, 911 (1983).
22. E. Vincent, J. Hammann, and M. Ocio, in Recent Progress in Random Magnets, edited by D. H. Ryan (World Scientific, Singapore, 1992).
23. V. Dotsenko, M. Feigel'man, and I. Ioffe, Spin Glasses and Related Problems, Soviet Scientific Reviews Vol. 15 (Harwood Academic, New York, 1990).
24. H. Eissfeller and M. Opper, Phys. Rev. Lett. 68, 2094 (1992).
25. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993).
26. L. F. Cugliandolo and J. Kurchan, Philos. Mag. B 71, 501 (1995).
27. L. F. Cugliandolo and J. Kurchan, J. Phys. A 27, 5749 (1994).
28. A. Baldassarri, L. F. Cugliandolo, J. Kurchan and G. Parisi, J. Phys. A 28, 1831 (1995).
29. S. Franz and M. Mézard, Europhys. Lett. 26, 209 (1994).
30. S. Franz and M. Mézard, Physica A 209, 1 (1994).
31. L. F. Cugliandolo and D. Dean, J. Phys. A 28, 4213 (1995).
32. L453 (1995).
33. J. Villain, B. Semeria, F. Lancon and L. Billard, J. Phys. C 16, 6153 (1983).
34. U. Schulz, J. Villain, E. Brézin and H. Orland, J. Stat. Phys. 51, 1 (1988).
35. L. F. Cugliandolo, J. Kurchan, and P. Le Doussal (unpublished).
36. Large N Expansions in Quantum Field Theory and Statistical Physics, edited by E. Brézin and S. Wadia (World Scientific, Singapore, 1993).
37. L. Golubovic, Phys. Rev. B 38, 2622 (1988).
38. J. Aronovitz, L. Golubovic and T. C. Lubensky, J. Phys. (Paris) 50, 609 (1989).
39. A. Engel, Nucl. Phys. B 410, 617 (1993).
40. A. Crisanti and H. J. Sommers, Z. Phys. B 87, 341 (1992).
41. J. M. Kosterlitz, D. J. Thouless and R. C. Jones, Phys. Rev. Lett. 36, 1217 (1976).
42. S. Ciuchi and F. De Pasquale, Nucl. Phys. B 300, 31 (1988).
43. P. Shukla and S. Singh, J. Phys. C 14, L81 (1981).
44. J. P. Bouchaud, J. Phys. (France) I 2, 1705 (1992).
45. J. P. Bouchaud, E. Vincent and J. Hammann, J. Phys. (France) I 4, 139 (1994).
46. J. P. Bouchaud and D. S. Dean, J. Phys. (France) I 5, 265 (1995).
47. H. Sompolinsky and A. Zippelius, Phys. Rev. Lett. 45, 359 (1981).
48. H. Sompolinsky and A. Zippelius, Phys. Rev. B 25, 274 (1982).
49. H. Sompolinsky, Phys. Rev. Lett. 47, 935 (1981). %
50. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
51. S. Franz and J. Kurchan, Europhys. Lett. 20, 197 (1992).
52. A. Baldassarri (unpublished).
53. H. Kinzelbach and H. Horner, J. Phys. (France) I 3, 1329 (1993).
54. H. Kinzelbach and H. Horner, J. Phys. (France) I 3, 1901 (1993).
55. V. M. Vinokur, J. Phys. Paris 47, 1425 (1986).
56. L. Golubovic and S. Feng, Phys. Rev. B 43, 972 (1991).
57. Y. G. Sinai, Theor. Probab. Appl. 27, 247 (1982).
58. for a review see J. P. Bouchaud, A. Comtet, A. Georges and P. Le Doussal, Ann. Phys. (N.Y.) 201, 285 (1990).
59. J. P. Bouchaud, A. Comtet, A. Georges and P. Le Doussal, Europhys. Lett. 3, 653 (1987).
60. R. Durrett, Commun. Math. Phys. 104, 87 (1986).
61. M. Feigel'man and V. Vinokur, J. Phys. (Paris) 49, 1731 (1988).
62. E. Marinari and G. Parisi, J. Phys. A 26, L1149 (1993).
63. A. Crisanti, H. Horner and H. J. Sommers, Z. Phys. B 92, 257 (1993).
64. D. Cule and Y. Shapir (unpublished).
65. J. O. Andersson, J. Mattson and P. Svedlindh, Phys. Rev. B 46, 8297 (1992), 49, 1120 (1994).
66. H. Rieger, J. Phys. A 26, L615 (1993).
67. J. Phys. (France) I 4, 883 (1994)
68. Annu. Rev. Comput. Phys. (to be published).
69. L. F. Cugliandolo, J. Kurchan and F. Ritort, Phys. Rev. B 49, 6331 (1994).
70. M. Hazewinkel, Formal Groups and its Applications (Academic, New York, 1978).
71. J. Kurchan, J. Phys. (France) I 2, 1333 (1992).
72. L. F. Cugliandolo, S. Franz, J. Kurchan, and M. Mézard (unpublished). %
73. T. Nieuwenhuizen, Phys. Rev. Lett. 74, 4289 (1995).
74. D. J. Thouless, P. W. Anderson and R. Palmer, Philos. Mag. 35, 593 (1977).
75. M. Potters and G. Parisi (unpublished); R. Monasson (unpublished).
76. G. Parisi, R. Acad. Naz. Lincei XI 1, 3 (1990).
77. H. J. Sommers and K. H. Fischer, Z. Phys. B, 125 (1985).
78. T. R. Kirkpatrick and Thirumalai, Phys. Rev. B 36, 5388 (1987).
79. W. Götze, in Liquids, Freezing and the Glass Transition, Proceedings of the Les Houches Summer School of Theoretical Physics, Session LI, edited by J. P. Hansen, D. Levesque, and J. Zinn Justin (Elsevier, Amsterdam, 1991). %
80. S. Franz and J. Hertz, Phys. Rev. Lett. 74, 2114 (1995).
81. J. P. Bouchaud (unpublished).
82. J. P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Me ' zard (unpublished).
83. P. Le Doussal and T. Giamarchi, Phys. Rev. Lett. 74, 606 (1995).
84. J. Zinn Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989). %