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Multiple scaling regimes in simple aging models

Rinn1, Maass, Bouchaud

  • 1Fakultat fur Physik, Universitat Konstanz, D-78457 Konstanz, Germany.

Physical Review Letters
|September 16, 2000
PubMed
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This study reveals subaging and multiple scaling regimes in glassy systems using a simple model of thermally activated jumps. Analytical methods confirm distinct relaxation behaviors dependent on waiting time.

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Complex systems

Background:

  • Glassy systems exhibit complex dynamics and aging phenomena.
  • Understanding aging requires models that capture dynamics in disordered systems.
  • Previous models often lack analytical tractability for aging dynamics.

Purpose of the Study:

  • To investigate aging phenomena in glassy systems using a simplified theoretical model.
  • To explicitly demonstrate subaging behavior and multiple scaling regimes.
  • To analytically derive scaling exponents and relaxation behaviors.

Main Methods:

  • Development of a simple model of thermally activated jumps in a random energy landscape.
  • Application of a "partial equilibrium" concept for analytical derivations.

Related Experiment Videos

  • Analysis of correlation functions to identify scaling regimes and exponents.

    • Main Results:

    • Explicit demonstration of subaging behavior in the model.
    • Identification of multiple scaling regimes for the correlation function.
    • Analytical derivation of exponents for relaxation times and asymptotic decay.

    Conclusions:

    • The simple model effectively captures key aging dynamics in glassy systems.
    • The "partial equilibrium" concept provides a powerful tool for analytical investigation.
    • Results offer insights into the fundamental mechanisms of aging in disordered materials.