Real spin glasses relax slowly in the shade of hierarchical trees

Journal of Statistical Physics

Volumn 135, Issue 5-6, 2009, Pages 1105-1120

  Vincent, E ^a   Hammann, J ^a   Ocio, M ^a  

^a CEA SACLAY   (France)

Author keywords

Aging; Hierarchical tree; Mean field; Memory; Noise; Rejuvenation; Relaxation; Spin glass

Indexed keywords

EID: 67650716763     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-009-9730-4     Document Type: Article

References (63)

1. M. Alba J. Hammann M. Noguès 1982 Phase diagrams of two dilute insulating systems with competing interactions J. Phys. C 15 5441
2. L. Balents J.-P. Bouchaud M. Mézard 1996 The large scale energy landscape of randomly pinned objects J. Phys. I (France) 6 1007
3. F. Belletti 2008 Nonequilibrium spin-glass dynamics from picoseconds to a tenth of a second Phys. Rev. Lett. 101 157201
4. F. Bert V. Dupuis E. Vincent J. Hammann J.-P. Bouchaud 2004 Spin anisotropy and slow dynamics in spin glasses Phys. Rev. Lett. 92 167203
5. L. Berthier J.P. Bouchaud 2002 Geometrical aspects of aging and rejuvenation in the Ising spin glass: A numerical study Phys. Rev. B 66 054404
6. L. Berthier J.P. Bouchaud 2003 Comment on "symmetrical temperature-chaos effect..." Phys. Rev. Lett. 90 057901
7. L. Berthier A.P. Young 2004 Aging dynamics of the Heisenberg spin glass Phys. Rev. B 69 184423
8. L. Berthier A.P. Young 2005 Temperature cycles in the Heisenberg spin glass Phys. Rev. B 71 214429
9. 0.6S spin glass Phys. Rev. B 30 6514
10. Bouchaud, J.-P.: Aging in glassy systems: New experiments, simple models, and open questions. In: Cates, M.E., Evans, M.R. (eds.) Soft and Fragile Matter. Institute of Physics Publishing, Bristol (2000). Also accessible at http://arxiv.org/abs/cond-mat/9910387
11. J.-P. Bouchaud V. Dupuis J. Hammann E. Vincent 2001 Separation of time and length scales in spin glasses: Temperature as a microscope Phys. Rev. B 65 024439
12. D. Carpentier E. Orignac 2008 Measuring overlaps in mesoscopic spin glasses via conductance fluctuations Phys. Rev. Lett. 100 057207
13. P. Contucci C. Giardinà C. Giberti C. Vernia 2006 Overlap equivalence in the Edwards-Anderson model Phys. Rev. Lett. 96 217204
14. P. Contucci C. Giardinà C. Giberti G. Parisi C. Vernia 2007 Ultrametricity in the Edwards-Anderson model Phys. Rev. Lett. 99 057206
15. L. Cugliandolo J. Kurchan 1994 On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model J. Phys. A 27 5749 (Pubitemid 24816171)
16. L.F. Cugliandolo J. Kurchan 1999 Mean-field theory of temperature cycling experiments in spin glasses Phys. Rev. B 60 922
17. C. Djurberg K. Jonason P. Nordblad 1999 Magnetic relaxation phenomena in a CuMn spin glass Eur. Phys. J. B 10 15
18. J.L. Dormann D. Fiorani E. Tronc 1997 Magnetic relaxation in fine-particle systems Adv. Chem. Phys. 98 283
19. V. Dotsenko 1985 Fractal dynamics of spin glasses J. Phys. C 18 6023
20. J. Du B. Zhang R.K. Zheng X.X. Zhang 2007 Memory effect and spin-glass-like behavior in Co-Ag granular films Phys. Rev. B 75 014415
21. V. Dupuis E. Vincent M. Alba J. Hammann 2002 Aging, rejuvenation and memory effects in re-entrant ferromagnets Eur. Phys. J. B 29 19
22. S. Franz M. Mézard 1994 Off-equilibrium glassy dynamics: a simple case Europhys. Lett. 26 209 (Pubitemid 24780629)
23. S. Franz M. Mézard G. Parisi L. Peliti 1998 Measuring equilibrium properties in aging systems Phys. Rev. Lett. 81 1758
24. D.S. Fisher D.A. Huse 1988 Nonequilibrium dynamics of spin glasses Phys. Rev. B 38 373
25. D.S. Fisher D.A. Huse 1988 Equilibrium behaviour of the spin glass ordered phase Phys. Rev. B 38 386
26. G.J.M. Koper H.J. Hilhorst 1988 A domain theory for linear and nonlinear aging effects in spin glasses J. Phys. (Paris) 49 429
27. F. Guerra 2003 Broken replica symmetry bounds in the mean field spin glass model Commun. Math. Phys. 233 1
28. J. Hammann M. Lederman M. Ocio R. Orbach E. Vincent 1992 Spin glass dynamics, relation between theory and experiment: a beginning Physica A 185 278
29. D. Hérisson M. Ocio 2002 Fluctuation-dissipation ratio of a spin glass in the aging regime Phys. Rev. Lett. 88 257202
30. D. Hérisson M. Ocio 2004 Off-equilibrium fluctuation-dissipation relation in a spin glass Eur. Phys. J. B 40 283
31. 0.5 Phys. Rev. Lett. 57 483
32. Y.G. Joh R. Orbach J.J. Wood J. Hammann E. Vincent 1999 Extraction of the spin glass correlation length Phys. Rev. Lett. 82 438
33. Y.G. Joh R. Orbach J.J. Wood J. Hammann E. Vincent 2000 Finite size effects on spin glass dynamics J. Phys. Soc. Jpn. 69 215
34. T. Jonsson J. Mattsson C. Djurberg F.A. Khan P. Nordblad P. Svedlindh 1995 Aging in a magnetic nanoparticle system Phys. Rev. Lett. 75 4138
35. P.E. Jönsson R. Mathieu P. Nordnlad H. Yoshino 2004 Nonequilibrium dynamics of spin glasses: Examination of the ghost domain scenario Phys. Rev. B 70 174402
36. J. Kisker L. Santen M. Schreckenberg H. Rieger 1996 Off-equilibrium dynamics in finite-dimensional spin-glass models Phys. Rev. B 53 6418
37. T. Komori H. Yoshino H. Takayama 1999 Numerical study on aging dynamics in the 3D Ising spin-glass model. I. Energy relaxation and domain coarsening J. Phys. Soc. Jpn. 68 3387
38. T. Komori H. Yoshino H. Takayama 2001 Numerical study on aging dynamics in the 3d Ising spin-glass model. II. Quasi-equilibrium regime of spin auto-correlation function J. Phys. Soc. Jpn. 69 1192
39. F. Krzakala O.C. Martin 2000 Spin and link overlaps in three-dimensional spin glasses Phys. Rev. Lett. 85 3013
40. J. Lamarcq J.P. Bouchaud O.C. Martin M. Mézard 2002 Non-compact local excitations in spin-glasses Europhys. Lett. 58 321
41. H. Mamiya I. Nakatani T. Furubayashi 1999 Slow dynamics for spin-glass-like phase of a ferromagnetic fine particle system Phys. Rev. Lett. 82 4332
42. E. Marinari G. Parisi F. Ricci-Tersenghi J.J. Ruz-Lorenzo 1998 Violation of the fluctuation-dissipation theorem in finite-dimensional spin glasses J. Phys. A 31 2611
43. E. Marinari G. Parisi F. Ricci-Tersenghi J.J. Ruiz-Lorenzo 2000 Off-equilibrium dynamics at very low temperatures in three-dimensional spin glasses J. Phys. A 33 2373
44. M. Mézard G. Parisi N. Sourlas G. Toulouse M. Virasoso 1984 Replica symmetry breaking and the nature of the spin glass phase J. Phys. (Paris) 45 843
45. Mezard, M., Parisi, G., Virasoro, M.A.: Spin Glass Theory and Beyond. World Scient. Lecture Notes in Physics, vol. 9. World Scientific, Singapore (1987)
46. Y. Miyako S. Chikazawa T. Saito Y.G. Yuochunas 1979 Nonlinear magnetization at the spin glass phase transition temperature J. Phys. Soc. Jpn. 46 1951
47. S. Miyashita E. Vincent 2001 A microscopic mechanism for rejuvenation and memory effects in spin glasses Eur. Phys. J. B 22 203
48. 3) J. Appl. Phys. 105 07E318
49. G. Parisi 2006 Spin glasses and fragile glasses: Statics, dynamics, and complexity Proc. Natl. Acad. Sci. USA 103 7948
50. 3 nanoparticle system Phys. Rev. B 77 104428
51. g J. Phys. (Paris) 48 1533
52. M. Sales H. Yoshino 2002 Fragility of the free-energy landscape of a directed polymer in random media Phys. Rev. E 65 066131
53. M. Sasaki V. Dupuis J.-P. Bouchaud E. Vincent 2002 Deviations from perfect memory in spin glass temperature cycling experiments Eur. Phys. J. B 29 469
54. D. Sherrington S. Kirkpatrick 1975 Solvable model of a spin glass Phys. Rev. Lett. 35 1792
55. M. Talagrand 2006 The Parisi formula Ann. Math. 163 221
56. S. Tanaka S. Miyashita 2005 Dynamical properties of temperature chaos and memory effect Prog. Theor. Phys. Suppl. 157 34
57. J.L. Tholence 1984 Recent experiments about the spin-glass transition Physica B 126 157
58. Vincent, E.: Aging, rejuvenation and memory: the example of spin glasses. In: Springer Lect. Notes Phys., vol. 716, pp. 7-60 (2007). Also accessible as http://arxiv.org/abs/cond-mat/0603583
59. 4 spin-glass Solid State Commun. 58 57
60. 4 insulating spin glass J. Phys. C 20 2659
61. E. Vincent V. Dupuis M. Alba J. Hammann J.-P. Bouchaud 2000 Aging phenomena in spin-glass and ferromagnetic phases: Domain growth and wall dynamics Europhys. Lett. 50 674
62. E. Wandersman V. Dupuis E. Dubois R. Perzynski S. Nakamae E. Vincent 2008 Growth of a dynamical correlation length in an aging superspin glass Europhys. Lett. 84 37011
63. H. Yoshino A. Lemaitre J.P. Bouchaud 2001 Multiple domain growth and memory in the droplet model for spin-glasses Eur. Phys. J. B 20 367