Slow dynamics and aging in spin glasses

  • Eric Vincent
  • Jacques Hammann
  • Miguel Ocio
  • Jean-Philippe Bouchaud
  • Leticia F. Cugliandolo
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 492)


Spin Glass Slow Dynamic Aging Phenomenon Trap Model Random Energy Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    L. Lundgren, P. Svedlindh, P. Nordblad and O. Beckman; Phys. Rev. Lett. 51 911 (1983).CrossRefADSGoogle Scholar
  2. [2]
    R.V. Chamberlin; Phys. Rev. B30, 5393 (1984).ADSGoogle Scholar
  3. [3]
    M. Ocio, M. Alba and J. Hammann; J. Physique Lett. (France) 46, L-1101 (1985).Google Scholar
  4. [3a]
    M. Alba, M. Ocio and J. Hammann; Europhys. Lett. 2, 45 (1986).ADSCrossRefGoogle Scholar
  5. [4]
    K. Binder and P. Young; Rev. Mod. Phys. 58, 801 (1986).CrossRefADSGoogle Scholar
  6. [4a]
    M. Mézard, G. Parisi and M. A. Virasoro; Spin Glass Theory and Beyond. World Scientific Lecture Notes in Physics Vol 9 (Singapore, 1987).Google Scholar
  7. [4b]
    K. Fischer and J. Hertz; Spin Glasses, (Cambridge University Press, 1991).Google Scholar
  8. [5]
    A. J. Bray and M. A. Moore; J. Phys. C17, L463 (1984), in Heidelberg Coll. in Glassy Dynamics, Springer-Verlag, 1986.Google Scholar
  9. [6]
    D. S. Fisher and D. Huse; Phys. Rev. B38, 373 (1988).ADSGoogle Scholar
  10. [7]
    G. Koper and H. Hilhorst; J. Phys. France 49, 429 (1988).CrossRefGoogle Scholar
  11. [8]
    M. Ocio, J. Hammann and E. Vincent; J. Magn. Magn. Mat. 90–91, 329 (1990).CrossRefGoogle Scholar
  12. [9]
    Vik. Dotsenko, M. Feigel’man and Ioffe; Spin Glasses and Related Problems, Soviet Scientific Reviews 15, (Harwood, 1990).Google Scholar
  13. [10]
    H. Hoffmann and P. Sibani; Phys. Rev. A38, 4261 (1988).ADSMathSciNetGoogle Scholar
  14. [11]
    H. Hoffmann and P. Sibani; Phys. Rev. Lett. 63, 2853 (1989); Z. Phys. B80, 429 (1990).CrossRefADSGoogle Scholar
  15. [12]
    J-P Bouchaud; J. Phys. I (France) 2, 1705 (1992).CrossRefGoogle Scholar
  16. [13]
    J.P. Bouchaud and D.S. Dean; J. Phys. I (France) 5 (1995) 265.CrossRefGoogle Scholar
  17. [14]
    L. F. Cugliandolo and J. Kurchan; Phys Rev. Lett. 71, 173 (1993); Phil. Mag. 71, 501 (1995).CrossRefADSGoogle Scholar
  18. [15]
    L. F. Cugliandolo and J. Kurchan; J. Phys. A27, 5749 (1994).ADSMathSciNetGoogle Scholar
  19. [16]
    Ph. Refregier, E. Vincent, J. Hammann and M. Ocio; J. Phys. (France) 48, 1533 (1987).Google Scholar
  20. [16a]
    F. Lefloch, J. Hammann, M. Ocio and E. Vincent; Europhysics Lett. 18, 647 (1992).ADSCrossRefGoogle Scholar
  21. [17]
    P. Grandberg, L. Sandlung, P. Nordblad, P. Svendlindh, L. Lundgren; Phys. Rev. B38, 7097 (1988).ADSGoogle Scholar
  22. [18]
    M. Lederman, R. Orbach, J. M. Hammann, M. Ocio and E. Vincent; Phys. Rev. B44, 7403 (1991).ADSGoogle Scholar
  23. [18a]
    J. Hammann, M. Lederman, M. Ocio, R. Orbach and E. Vincent; Physica A185, 278 (1992).ADSGoogle Scholar
  24. [19]
    C. A. Angell; Science, 267, 1924 (1995). C. A. Angell, P. H. Poole and J. Shao; Il Nuovo Cimento 16, 993 (1994).CrossRefADSGoogle Scholar
  25. [20]
    Y.G. Joh, R. Orbach and J. Hammann; submitted to Phys. Rev. Lett. (This paper proposes a model for the time dependence of TRM and ZFC magnetization based on the same hierarchical picture as in Sect. 5.1, and a linear increase of the barrier heights with the Hamming distance).Google Scholar
  26. [21]
    J. Kurchan and L. Laloux; J. Phys. A29, 1929 (1996).ADSMathSciNetGoogle Scholar
  27. [22]
    J.P. Bouchaud and M. Mézard, in this volume.Google Scholar
  28. [23]
    L. C. E. Struik; Physical Aging in Amorphous Polymers and Other Materials, Elsevier, Houston (1978).Google Scholar
  29. [24]
    P. Nordblad, L. Lundgren and L. Sandlund; J. Magn. Magn. Mat. 54, 185 (1986).CrossRefADSGoogle Scholar
  30. [25]
    E. Vincent, J. Hammann and M. Ocio; in Recent Progress in Random Magnets p.207–236, editor D.H. Ryan, World Scient. Pub. Co. Pte. Ltd., Singapore 1992.Google Scholar
  31. [26]
    E. Vincent, J-P Bouchaud, D. S. Dean and J. Hammann; Phys Rev B52, 1050 (1995).ADSGoogle Scholar
  32. [27]
    D. Chu, G.G. Kenning and R. Orbach; Philos. Mag. B71, 489 (1995).Google Scholar
  33. [28]
    M. Alba, J. Hammann, M. ocio and Ph. Refregier; J. Appl. Phys. 61, 3683 (1987).CrossRefADSGoogle Scholar
  34. [28a]
    Ph. Refregier, M. Ocio, J. Hammann and E. Vincent; J. Appl. Phys. 63, 4343 (1988).CrossRefADSGoogle Scholar
  35. [28b]
    J. Hammann, M. Ocio and E. Vincent; in Relaxation in Complex Systems and Related Topics p.11–21,edited by I.A. Campbell and C. Giovanella, Plenum Press, New-York 1990.Google Scholar
  36. [29]
    see e.g.: J. Souletie and J.L. Tholence; Phys. Rev. 32, 516 (1985)CrossRefADSMathSciNetGoogle Scholar
  37. [29a]
    H. Bouchiat; J. Physique (France) 47, 71 (1986)CrossRefGoogle Scholar
  38. [29b]
    E. Vincent and J. Hammann; J. Phys. C20, 2659 (1987), and references therein.ADSGoogle Scholar
  39. [30]
    S. Edwards and P. W. Anderson; J. Phys. F5, 965 (1975).CrossRefADSGoogle Scholar
  40. [31]
    see, e.g., P. W. Anderson and C. M. Pond; Phys. Rev. Lett. 40, 903 (1978).CrossRefADSGoogle Scholar
  41. [31a]
    J. A. Hertz, L. Fleshmann and P. W. Anderson; Phys. Rev. Lett. 43, 943 (1979).CrossRefADSGoogle Scholar
  42. [31b]
    E. Marinari, G. Parisi and F. Ritort; J. Phys. A27, 2687 (1994).ADSMathSciNetGoogle Scholar
  43. [31c]
    N. Kawashima and A. P. Young; Phys. Rev. B53, R484 (1996).Google Scholar
  44. [32]
    D. Sherrington and S. Kirkpatrick; Phys. Rev. Lett. 35, 1792 (1975).CrossRefADSGoogle Scholar
  45. [33]
    J. O. Andersson, J. Mattson and P. Svedlindh; Phys. Rev. B46, 8297 (1992)ADSGoogle Scholar
  46. [33a]
    ibidB49, 1120 (1994).ADSGoogle Scholar
  47. [34]
    H. Rieger; J. Phys. A26, L615 (1993); J. Phys. I (France), 883 (1994); Annual Rev. of Comp. Phys II, 295 (1995).Google Scholar
  48. [35]
    L. F. Cugliandolo, J. Kurchan and F. Ritort; Phys. Rev. B49, 6331 (1994).ADSGoogle Scholar
  49. [36]
    H. Yoshino; J. Phys. A29, 1421 (1996).ADSGoogle Scholar
  50. [37]
    G. Parisi, F. Ricci and J. Ruiz-Lorenzo; cond-mat/9606051.Google Scholar
  51. [38]
    S. Franz and M. Mézard; Europhys. Lett. 26, 209 (1994); Physica A209, 1 (1994).ADSCrossRefGoogle Scholar
  52. [39]
    L. F. Cugliandolo and P. Le Doussal; Phys. Rev. E53, 1525 (1996).ADSGoogle Scholar
  53. [39a]
    L. F. Cugliandolo, J. Kurchan and P. Le Doussal; Phys. Rev. Lett. 76, 2390 (1996), and in preparation.CrossRefADSGoogle Scholar
  54. [40]
    A. Crisanti, H. Horner and H-J Sommers; Z. Phys. B92, 257 (1993).CrossRefADSGoogle Scholar
  55. [41]
    H. Kinzelbach and H. Horner; J. Phys. I (France) 3, 1329 (1993)CrossRefGoogle Scholar
  56. [41a]
    ibid, 1901 (1993).CrossRefGoogle Scholar
  57. [42]
    H. Sompolinsky; Phys. Rev. Lett. 47, 935 (1981).CrossRefADSGoogle Scholar
  58. [43]
    H. Sompolinsky and A. Zippelius; Phys. Rev. B25, 6860 (1982).ADSGoogle Scholar
  59. [43a]
    P Biscari; J. Phys. A23, 3861 (1990).ADSGoogle Scholar
  60. [44]
    Th. Nieuwenhuizen; Phys. Rev Lett 74, 4289 (1995)CrossRefADSGoogle Scholar
  61. [44a]
  62. [45]
    J-P Bouchaud, L. F. Cugliandolo, J. Kurchan and M. Mézard; Physica A226, 243 (1996).ADSGoogle Scholar
  63. [46]
    A. Crisanti and H-J Sommers; Z. Phys. B87, 341 (1992).CrossRefADSGoogle Scholar
  64. [47]
    L. F. Cugliandolo, J. Kurchan, P. le Doussal and L. Peliti; cond-mat/9606060.Google Scholar
  65. [48]
    L. Balents, J-P Bouchaud and M. Mézard; cond-mat/9601137, J. Phys. I (France), to be published.Google Scholar
  66. [49]
    A. Barrat, R. Burioni and M. Mézard, J. Phys. A29 (1996) 1311.ADSGoogle Scholar
  67. [50]
    B. Derrida; Phys. Rev. Lett. 45, 79 (1980); Phys. Rev. B24, 2613 (1981).CrossRefADSMathSciNetGoogle Scholar
  68. [51]
    A similar concept has been proposed by J. Villain in Europhys. Lett. 2 (1986) 871.ADSCrossRefGoogle Scholar
  69. [52]
    J.-P. Bouchaud, E. Vincent and J. Hammann; J. Phys. I (France) 4, 139 (1994).CrossRefGoogle Scholar
  70. [53]
    L. F. Cugliandolo and J. Kurchan; unpublished.Google Scholar
  71. [54]
    L. Lundgren, P. Svedlindh and O. Beckman, Journal of Magn. Magn. Mat. 31–34, 1349 (1983).CrossRefGoogle Scholar
  72. [55]
    E. Vincent, J-P Bouchaud, J. Hammann and F. Lefloch; Phil. Mag. 71, 489 (1995).Google Scholar
  73. [56]
    D.S. Fisher and D.A. Huse; Phys. Rev. Lett. 56, 1601 (1986).CrossRefADSGoogle Scholar
  74. [56a]
    A.J. Bray and M.A. Moore; Phys. Rev. Lett. 58, 57 (1987).CrossRefADSGoogle Scholar
  75. [57]
    L. F. Cugliandolo and D. S. Dean; J. Phys. A28, 4213 (1995).ADSMathSciNetGoogle Scholar
  76. [58]
    M. B. Weissmann, N.E. Isrealoff, G. B. Alers, Journal of Magn. Magn. Mat. 114, 87 (1992).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Eric Vincent
    • 1
  • Jacques Hammann
    • 1
  • Miguel Ocio
    • 1
  • Jean-Philippe Bouchaud
    • 1
  • Leticia F. Cugliandolo
    • 1
  1. 1.Service de Physique de l’Etat Condensé, CEA SaclayGif-sur-Yvette CedexFrance

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