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Slow dynamics and aging in a constrained diffusion model.

F Corberi1, M Nicodemi, M Piccioni

  • 1Dipartimento di Fisica, Universitá di Salerno, and Istituto Nazionale per la Fisica della Materia, Unitá di Salerno, 84081 Baronissi, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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This study analyzes a diffusive model for supercooled liquids and glassy systems. Deep quenches in dense systems lead to slow, aging dynamics with decreasing particle diffusivity before equilibrium is reached.

Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Materials science

Background:

  • Supercooled liquids and glassy systems exhibit complex dynamics near and above the glass transition temperature.
  • Understanding off-equilibrium dynamics is crucial for characterizing these materials.
  • Existing models often simplify the kinetic constraints present in dense systems.

Purpose of the Study:

  • To perform a comprehensive analysis of a schematic diffusive model for supercooled liquids and glassy systems.
  • To investigate the behavior of this model under sudden quench processes.
  • To explore the emergence of aging dynamics and the breakdown of the fluctuation-dissipation theorem.

Main Methods:

  • Analytical investigation using a mean-field approach.

Related Experiment Videos

  • Numerical simulations of the governing equations.
  • Calculation of autocorrelation and linear response functions.
  • Main Results:

    • Deep quenches in dense systems induce long-lasting off-equilibrium dynamics characterized by aging.
    • Particle diffusivity (D) decreases over time in the off-equilibrium state, unlike standard diffusion.
    • Autocorrelation functions decay slower than exponential, following an enhanced power law in the mean-field approximation.
    • The fluctuation-dissipation theorem breaks down, but an effective temperature approaching the bath temperature from above can be defined.

    Conclusions:

    • The analyzed schematic diffusive model captures essential features of aging in dense glassy systems.
    • The model provides insights into the slow kinetics and breakdown of equilibrium theorems.
    • The concept of an effective temperature offers a way to characterize the system's approach to equilibrium.