The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium

Journal of Statistical Physics

Volumn 97, Issue 3-4, 1999, Pages 459-488

  Franz, Silvio ^a   Mézard, Marc ^b   Parisi, Giorgio ^c   Peliti, Luca ^d  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c INFN SEZIONE DI ROMA   (Italy)

^d UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Glasses; Out of equilibrium dynamics; Spin glasses; Stochastic stability

Indexed keywords

EID: 0040631847     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004602906332     Document Type: Article

References (40)

1. K. Binder and A. P. Young, Rev. Mod. Phys. 58:801 (1986).
2. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
3. K. H. Fischer and J. A. Hertz, Spin Glasses (Cambridge U. P., Cambridge, 1991).
4. A. P. Young (ed.), Spin Glasses and Random Fields (World Scientific, Singapore, 1997).
5. M. Mézard and G. Parisi, Phys. Rev. Lett. 82:747 (1999), and cond-mat/9812180.
6. For a recent review see E. Marinari, G. Parisi, and J. J. Ruiz-Lorenzo in ref. 4.
7. C. M. Newman and D. L. Stein, Phys. Rev. B 46:973 (1992).
8. G. Parisi, Phys. Rev. Lett. 50:1946 (1983).
9. L. C. E. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Houston, 1978).
10. L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51:911 (1983); P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33:645 (1986): M. Alba, J. Hamman, M. Ocio, and Ph. Refrigier, J. Appl. Phys. 61:3683 (1987): F. Lefloch, J. Hamman, M. Ocio, and E. Vincent, Europhys. Lett. 18:647 (1992). For a recent review see P. Norblad and P. Svendlindh in ref. 4.
11. L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51:911 (1983); P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33:645 (1986): M. Alba, J. Hamman, M. Ocio, and Ph. Refrigier, J. Appl. Phys. 61:3683 (1987): F. Lefloch, J. Hamman, M. Ocio, and E. Vincent, Europhys. Lett. 18:647 (1992). For a recent review see P. Norblad and P. Svendlindh in ref. 4.
12. L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51:911 (1983); P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33:645 (1986): M. Alba, J. Hamman, M. Ocio, and Ph. Refrigier, J. Appl. Phys. 61:3683 (1987): F. Lefloch, J. Hamman, M. Ocio, and E. Vincent, Europhys. Lett. 18:647 (1992). For a recent review see P. Norblad and P. Svendlindh in ref. 4.
13. L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51:911 (1983); P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33:645 (1986): M. Alba, J. Hamman, M. Ocio, and Ph. Refrigier, J. Appl. Phys. 61:3683 (1987): F. Lefloch, J. Hamman, M. Ocio, and E. Vincent, Europhys. Lett. 18:647 (1992). For a recent review see P. Norblad and P. Svendlindh in ref. 4.
14. L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51:911 (1983); P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33:645 (1986): M. Alba, J. Hamman, M. Ocio, and Ph. Refrigier, J. Appl. Phys. 61:3683 (1987): F. Lefloch, J. Hamman, M. Ocio, and E. Vincent, Europhys. Lett. 18:647 (1992). For a recent review see P. Norblad and P. Svendlindh in ref. 4.
15. L. F. Cugliandolo, J. Kurchan, P. Le Doussal, and L. Peliti. Phys. Rev. Lett. 78:3504 (1997).
16. L. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E 55:3898 (1997).
17. S. Franz, M. Mézard, G. Parisi, and L. Peliti, Phys. Rev. Lett. 81:1758 (1998).
18. For a recent review see J.-P. Bouchaud, L. Cugliandolo, M. Mézard, and J. Kurchan in ref. 4.
19. J.-P. Bouchaud, J. Physique (Paris) 2:1705 (1992).
20. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
21. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
22. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
23. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
24. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
25. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
26. S. Franz and H. Rieger, J. Stat. Phys. 79:749 (1995); G. Parisi, Phys. Rev. Lett. 79:3660 (1997); J. Phys. A. Math. Gen. 30:8523 (1997); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Loretzo, J. Phys. A: Math. Gen. 31:2611 (1998); G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 57:13617 (1998); A. Barrat, Phys. Rev. E 57:3629 (1998); M. Campellone, B. Coluzzi, and G. Parisi, cond-mat/9804291, J. Phys. A. to appear.
27. D. Fisher, Physica D 107:204 (1997).
28. C. M. Newman and D. L. Stein, Phys. Rev. Lett. 76:515 (1996).
29. F. Guerra, Int. J. Mod. Phys. B 10:1675 (1997).
30. M. Aizenman and P. Contucci, J. Stat. Phys. 92:765 (1998).
31. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71:173 (1993).
32. S. Ghirlanda and F. Guerra, J. Phys. A: Math. Gen. 31:9149 (1998).
33. E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, J. Phys. A: Math. Gen. 31:2611 (1998).
34. D. J. Gross and M. Mézard, Nucl. Phys. B 240:431 (1984).
35. M. Mézard, G. Parisi, and M. A. Virasoro, J. Physique Lett. 46:L21 (1985).
36. G. Parisi, On the probabilistic formulation of the replica approach to spin glasses, cond-mat/9801081.
37. L. F. Cugliandolo and J. Kurchan, J. Phys. A: Math. Gen. 27:5749 (1994).
38. S. Franz and M. Mézard, Europhys. Lett. 26:209 (1994); Physica A 210:48 (1994).
39. S. Franz and M. Mézard, Europhys. Lett. 26:209 (1994); Physica A 210:48 (1994).
40. M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, and M. A. Virasoro, J. Physique 45:843 (1985).