Slow relaxation, dynamic transitions, and extreme value statistics in disordered systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 1, 2008, Pages

  Van Duijvendijk, K ^a   Schehr, G ^b   Van Wijland, F ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

STATISTICAL METHODS;

DISORDERED SYSTEMS; DYNAMIC PHASE TRANSITION; DYNAMIC TRANSITIONS; DYNAMICAL PHASES; EXTREME VALUE STATISTICS; RANDOM ENERGY; RANDOM ENERGY MODEL; SLOW RELAXATIONS;

PHASE TRANSITIONS;

EID: 48349147455     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.011120     Document Type: Article

References (21)

1. J. P. Bouchaud, L. Cugliandolo, J. Kurchan, and M. Mézard, e-print arXiv:cond-mat/9702070
2. L. Cugliandolo, in Lecture notes in Slow Relaxation and Nonequilibrium Dynamics in Condensed Matter, Les Houches 2002 Summer School, Session 77 (Springer, Berlin, 2002).
3. L. Santen and W. Krauth, Nature (London) NATUAS 0028-0836 10.1038/35014561 405, 550 (2000).
4. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.035704 89, 035704 (2002)
5. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0504820102 102, 10837 (2005)
6. R. L. Jack, J. P. Garrahan, and D. Chandler, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2374885 125, 184509 (2006).
7. D. Ruelle, Thermodynamics Formalism (Addison-Wesley, Reading, PA, 1978)
8. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.617 57, 617 (1985).
9. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 195702 98, 195702 (2007).
10. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9254-0 127, 51 (2007).
11. J. P. Bouchaud, A. Comtet, and C. Monthus, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1995104 5, 1521 (1995)
12. C. Monthus and J. P. Bouchaud, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/14/012 29, 3847 (1996).
13. G. Ben Arous and J. Cerný, in Dynamics of Trap Models, Icole d' été Physique des Houches, Session LXXXIII (Elsevier, New York, 2006), p. 331.
14. J. P. Bouchaud, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1992238 2, 1705 (1992)
15. J. P. Bouchaud and D. Dean, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1995127 5, 265 (1995)
16. G. Ben Arous, A. Bovier, and V. Gayrard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.087201 88, 087201 (2002).
17. F. Ritort, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/43/008 36, 10791 (2003).
18. J. P. Bouchaud and M. Mézard, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/23/004 30, 7997 (1997).
19. G. Biroli, J. P. Bouchaud, and M. Potters, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) P07019.
20. B. Derrida, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.2613 24, 2613 (1981).
21. G. J. M. Koper and H. J. Hilhorst, Physica A PHYADX 0378-4371 10.1016/0378-4371(89)90460-3 160, 1 (1989).