Aging in the random energy model

被引:61
作者
Ben Arous, G [1 ]
Bovier, A
Gayrard, V
机构
[1] Ecole Polytech Fed Lausanne, DMA, CH-1015 Lausanne, Switzerland
[2] Weierstrass Inst Angew Anal & Stochastik, D-10117 Berlin, Germany
[3] CNRS, CPT, F-13288 Marseille 9, France
关键词
D O I
10.1103/PhysRevLett.88.087201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The random energy model (REM) has become a key reference model for glassy systems. In particular, it is expected to provide a prime example of a system whose dynamics shows aging, a universal phenomenon characterizing the dynamics of complex systems. The analysis of its activated dynamics is based on so-called trap models, introduced by Bouchaud, that are also used to mimic the dynamics of more complex disordered systems. In this Letter we report the first results that justify rigorously the trap model predictions in the REM.
引用
收藏
页数:4
相关论文
共 22 条
  • [1] Ben Arous G, 2001, PROBAB THEORY REL, V120, P1
  • [2] BENAROUS G, 2001, WIAS691
  • [3] BENAROUS G, 2001, WIAS690
  • [4] Metastable states in glassy systems
    Biroli, G
    Kurchan, J
    [J]. PHYSICAL REVIEW E, 2001, 64 (01): : 14 - 016101
  • [5] BOUCHAUD J.-P., 1998, SPIN GLASSES RANDOM
  • [6] BOUCHAUD JP, 1995, J PHYS I, V5, P265, DOI 10.1051/jp1:1995127
  • [7] BOUCHAUD JP, 1992, J PHYS I, V2, P1705, DOI 10.1051/jp1:1992238
  • [8] Metastability in stochastic dynamics of disordered mean-field models
    Bovier, A
    Eckhoff, M
    Gayrard, V
    Klein, M
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 2001, 119 (01) : 99 - 161
  • [9] BOVIER A, IN PRESS
  • [10] FULL DYNAMICAL SOLUTION FOR A SPHERICAL SPIN-GLASS MODEL
    CUGLIANDOLO, LF
    DEAN, DS
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (15): : 4213 - 4234