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Distance-as-time in physical aging.

Ian M Douglass1, Jeppe C Dyre1

  • 1Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark.

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Physical aging in glasses is linked to particle movement distance, not just time. This discovery offers a new microscopic understanding of material time and aging dynamics in disordered systems.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Physical aging of glasses is empirically described by linear convolution integrals over material time.
  • The microscopic origin and interpretation of material time in aging systems remain poorly understood.

Purpose of the Study:

  • To propose and investigate a microscopic definition of material time based on particle displacement.
  • To connect the concept of material time to geometric properties of system trajectories in configuration space.
  • To validate the proposed material time definition through computer simulations.

Main Methods:

  • Analysis of particle trajectories in an aging binary Lennard-Jones system using computer simulations.
  • Calculation of various distance measures, including mean-square displacement and its inherent-state version.
  • Investigation of geometric reversibility and unique-triangle properties in the system's configuration space.
  • Quantification of material time using the inherent harmonic mean-square displacement.

Main Results:

  • Material time increase correlates with the distance traveled by system particles.
  • Simulations confirm geometric reversibility and unique-triangle properties inherited from equilibrium.
  • Slow-moving particles were identified as the primary controllers of material time.
  • The inherent harmonic mean-square displacement effectively collapses aging data, unifying relaxation functions across different temperature histories.

Conclusions:

  • Material time can be microscopically interpreted as the distance traveled by system particles.
  • The proposed framework provides a new perspective on physical aging, linking it to particle dynamics and geometric properties.
  • The findings support a dynamic-rigidity-percolation picture of aging and offer a derivation for the standard Tool-Narayanaswamy description.