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Aging in the random energy model.

Gérard Ben Arous1, Anton Bovier, Véronique Gayrard

  • 1DMA, EPFL, CH-1015 Lausanne, Switzerland.

Physical Review Letters
|February 28, 2002
PubMed
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The random energy model (REM) provides a rigorous justification for trap models in glassy systems. This research confirms that REM dynamics exhibit aging, a key characteristic of complex systems.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • The random energy model (REM) is a fundamental reference for studying glassy systems.
  • Aging is a universal phenomenon observed in the dynamics of complex systems.
  • Trap models, introduced by Bouchaud, are used to analyze activated dynamics in disordered systems.

Purpose of the Study:

  • To rigorously justify the predictions of trap models within the framework of the random energy model.
  • To provide theoretical support for the application of trap models to REM dynamics.
  • To advance the understanding of aging phenomena in glassy systems.

Main Methods:

  • Analysis of activated dynamics in the random energy model.
  • Application of theoretical frameworks from Bouchaud's trap models.

Related Experiment Videos

  • Rigorous mathematical justification of model predictions.

    • Main Results:

    • The study presents the first rigorous results justifying trap model predictions in the REM.
    • Confirmation of aging phenomena in the dynamics of the random energy model.
    • Establishment of a theoretical link between REM and trap model dynamics.

    Conclusions:

    • The findings rigorously validate the use of trap models for describing dynamics in the random energy model.
    • This work strengthens the understanding of aging as a fundamental property of glassy systems described by REM.
    • The results pave the way for further theoretical investigations into complex system dynamics.