Glauber dynamics of the random energy model: II. Aging below the critical temperature

Communications in Mathematical Physics

Volumn 236, Issue 1, 2003, Pages 1-54

  Ben Arous, Gérard ^a   Bovier, Anton ^b   Gayrard, Véronique ^a,c  

^a EPFL   (Switzerland)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038806647     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0799-3     Document Type: Article

References (18)

1. [B] Bouohaud, J.P.: Weak ergodicity breaking and aging in disordered systems. J. Phys. I (France) 2, 1705 (1992)
2. [BBG1] Ben Arous, G., Bovier, A., Gayrard, V.: Glauber dynamics of the random energy model. I. Metastable motion on extreme states. Commun. Math. Phys., to appear; DOI 10.1007/s00220-003-0798-4
3. [BCKM] Bouchaud, J.P., Cugliandolo, L., Kurchan, J., Mézard, M.: Out-of-equilibrium dynamics in spin-glasses and other glassy systems. In: Spin-glasses and Random Fields A.P. Young (ed.), Singapore: World Scientific, 1998
4. [BD] Bouchaud, J.P., Dean, D.: Aging on Parisi's tree. J. Phys. I (France) 5, 265 (1995)
5. [BDG] Ben Arous, G., Dembo, A., Guionnet, A.: Aging of spherical spin glasses. Probab. Theor. Rel. Fields 120, 1-67 (2001)
6. [BEGK1] Bovier, A., Eckhoff, M., Gayrard, V., Klein, M.: Metastability in stochastic dynamics of disordered mean field models. Probab. Theory Relat. Fields 119, 99-161 (2001)
7. [BEGK2] Bovier, A., Eckhoff, M., Gayrard, V., Klein, M.: Metastability and low lying spectra in reversible Markov chains. Commun. Math. Phys. 228, 219-255 (2002)
8. [BKL] Bovier, A., Kurkova, I., Löwe, M.: Fluctuations of the free energy in the REM and the p-spin SK models. Ann. Probab. 30, 605-651 (2002)
9. [BM] Bouchaud, J.P., Monthus, C.: Models of traps and glass phenomenology, J. Phys. A-Math. Gen. 29 (14), 3847-3869 (1996)
10. [BMR] Bouchaud, J.P., Maass, P., Rinn, B.: Multiple scaling regimes in simple aging models. Phys. Rev. Letts. 84(23), 5403-5406 (2000)
11. [CD] Cugliandolo, L., Dean, D.: Full dynamical solution for a spherical spin-glass model. J. Phys. A-Math. Gen. 28(15), 4213-4234 (1995)
12. [D1] Derrida, B.: Random energy model: Limit of a family of disordered models. Phys. Rev. Letts. 45, 79-82 (1980)
13. [D2] Derrida, B.: Random energy model: An exactly solvable model of disordered systems. Phys. Rev. B 24, 2613-2626 (1981)
14. [Doe] Doetsch, G.: Handbuch der Laplace-Transformation. Vol II, Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe Band 15, Basel: Birkhäuser Verlag, 1955
15. [Fe] Feller, W.: An introduction to probability theory and its applications. Vol II, Wiley series in probability and mathematical statistics, New York: John Wiley, 1971
16. [Li] Liggett, T.M.: Interacting particle systems. Berlin: Springer, 1985
17. [LLR] Leadbetter, M.R., Lindgren, G., Rootzén, H.: Extremes and related properties of random sequences and processes. Berlin-Heidelberg-New York: Springer, 1983
18. [Ru] Ruelle, D.: A mathematical reformulation of Derrida's REM and GREM. Commun. Math. Phys. 108, 225-239 (1987)