Quasi-equilibrium in glassy dynamics: An algebraic view

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2013, Issue 2, 2013, Pages

  Franz, Silvio ^a   Parisi, Giorgio ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

cavity and replica method; slow dynamics and ageing (theory); spin glasses (theory)

Indexed keywords

EID: 84874710769     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2013/02/P02003     Document Type: Article

References (45)

1. Franz S and Virasoro M A 2000 J. Phys. A: Math. Gen. 33 891
2. Franz S 2003 J. Phys.: Condens. Matter 15 S881-90
3. Kurchan J, Peliti L and Sellitto M 1997 Europhys. Lett. 39 365
4. Barrat A, Kurchan J, Loreto V and Sellitto M 2000 Phys. Rev. Lett. 85 5034 (Pubitemid 32871768)
5. Barrat A, Kurchan J, Loreto V and Sellitto M 2001 Phys. Rev. E 63 051301
6. Franz S, Parisi G, Ricci-Tersenghi F and Rizzo T 2011 Eur. Phys. J. E 34 102
7. Franz S, Parisi G, Ricci-Tersenghi F and Rizzo T 2011 Replica field theory of the dynamical transition in glassy systems arXiv:1105.5230v1
8. Cugliandolo L F, Kurchan J and Peliti L 1997 Phys. Rev. E 55 3898
9. Franz S, Mezard M, Parisi G and Peliti L 1998 Phys. Rev. Lett. 81 1758-61
10. Franz S, Mezard M, Parisi G and Peliti L 1999 J. Stat. Phys. 97 459-88
11. Sciortino F and Tartaglia P 2001 Phys. Rev. Lett. 86 107 (Pubitemid 32131744)
12. Franz S and Parisi G 1995 J. Physique 5 1401-15
13. Franz S and Parisi G 1997 Phys. Rev. Lett. 79 2486
14. Franz S and Parisi G 1998 Physica A 261 317
15. Cavagna A, Giardina I and Parisi G 1997 J. Phys. A: Math. Gen. 30 4449 (Pubitemid 127090524)
16. Cavagna A, Giardina I and Parisi G 1997 J. Phys. A: Math. Gen. 30 7021 (Pubitemid 127133768)
17. Cavagna A, Giardina I and Parisi G 1997 Barriers between metastable states in the p-spin spherical model arXiv:cond-mat/9702069
18. Krzakala F and Kurchan J 2007 Phys. Rev. E 76 021122 (Pubitemid 47358015)
19. Krzakala F and Zdeborova L 2010 Phys. Rev. B 81 224205
20. Sun Y, Crisanti A, Krzakala F, Leuzzi L and Zdeborova L 2012 J. Stat. Mech. P07002
21. Krzakala F and Zdeborova L in preparation
22. Parisi G 1980 J. Phys. A: Math. Gen. 13 L115
23. Bouchaud J P, Cugliandolo L, Kurchan J and Mézard M 1996 Physica A 226 243
24. Barrat A, Franz S and Parisi G 1997 J. Phys. A: Math. Gen. 30 5593-612 (Pubitemid 127112252)
25. Dotsenko V, Feigel'man M and Ioffe I 1990 Spin Glasses and Related Problems (Soviet Scientific Reviews) vol 15 (Newark, NJ: Harwood Academic)
26. Cugliandolo L F 2003 Dynamics of glassy systems Lecture Notes in Slow Relaxation and Non Equilibrium Dynamics in Condensed Matter (Les Houches Session) vol 77 ed J-L Barrat, J Dalibard, J Kurchan and M V Feigel'man (Berlin: Springer)
27. Crisanti A and Sommers H J 1992 Z. Phys. B 87 341
28. Nieuwenhuizen Th M 1995 Phys. Rev. Lett. 74 4293
29. Crisanti A, Horner H and Sommers H J 1993 Z. Phys. B 92 257
30. Bengtzelius U, Gotze W and Sjolander A 1984 J. Phys. C: Solid State Phys. 17 5915
31. Gotze W 1984 Z. Phys. B 56 139
32. Gotze W 1985 Z. Phys. B 60 195
33. Cugliandolo L and Kurchan J 1993 Phys. Rev. Lett. 71 173-6
34. Cugliandolo L and Kurchan J 1994 J. Phys. A: Math. Gen. 27 5749
35. Franz S and Mezard M 1994 Europhys. Lett. 26 209
36. Kosterlitz J M, Thouless D J and Jones R C 1976 Phys. Rev. Lett. 36 1217
37. Cugliandolo L F and Dean D S 1995 J. Phys. A: Math. Gen. A 28 4213
38. Mézard M, Parisi G and Virasoro M A 1987 Spin Glass Theory and Beyond (Singapore: Word Scientific)
39. Eisfeller H and Opper M 1992 Phys. Rev. Lett. 68 2094-7
40. Sompolinsky H and Zippelius A 1981 Phys. Rev. Lett. 47 359
41. Sompolinsky H and Zippelius A 1981 Phys. Rev. B 25 6860
42. Mimura K and Coolen A C C 2009 J. Phys. A: Math. Theor. 42 415001
43. Neri I and Bollé D 2009 J. Stat. Mech. P08009
44. Yeung C H and Saad D 2011 Networks and networking - a statistical physics perspective arXiv:1110.2931
45. Franz S, Parisi G and Urbani P-F 2012 Quasi-equilibrium in glassy dynamics: a liquid theory approach arXiv:1212.4291