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 50 条
  • [41] The free energy of the random walk pinning model
    Nakashima, Makoto
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2018, 128 (02) : 373 - 403
  • [42] Variational bounds for the generalized random energy model
    Giardina, Cristian
    Starr, Shannon
    JOURNAL OF STATISTICAL PHYSICS, 2007, 127 (01) : 1 - 20
  • [43] Energy landscape statistics of the random orthogonal model
    Esposti, MD
    Giardinà, C
    Graffi, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (12): : 2983 - 2994
  • [44] AN EVOLUTIONARY VERSION OF THE RANDOM ENERGY-MODEL
    FRANZ, S
    PELITI, L
    SELLITTO, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23): : L1195 - L1199
  • [45] ON THE EXISTENCE OF THERMODYNAMICS FOR THE RANDOM ENERGY-MODEL
    OLIVIERI, E
    PICCO, P
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 96 (01) : 125 - 144
  • [46] Spectral Analysis of the Quantum Random Energy Model
    Chokri Manai
    Simone Warzel
    Communications in Mathematical Physics, 2023, 402 : 1259 - 1306
  • [47] Random free energy model for the description of hysteresis
    Bertotti, G
    Basso, V
    Durin, G
    JOURNAL OF APPLIED PHYSICS, 1996, 79 (08) : 5764 - 5766
  • [48] Phase Diagram of the Quantum Random Energy Model
    Chokri Manai
    Simone Warzel
    Journal of Statistical Physics, 2020, 180 : 654 - 664
  • [49] Cooperative transitions in the random energy model for supercooled
    Halpern, V
    PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 2001, 81 (09): : 1237 - 1247
  • [50] NONEXPONENTIAL RELAXATION IN THE RANDOM ENERGY-MODEL
    KOPER, GJM
    HILHORST, HJ
    PHYSICA A, 1989, 160 (01): : 1 - 23