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Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
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Published on: January 26, 2016

Glassy dynamics and aging in an exactly solvable spin model.

M E Newman1, C Moore

  • 1Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

This study presents a simple spin model exhibiting glassy behavior without randomness. Analytical solutions and simulations reveal aging and a continuous loss of equilibrium, challenging traditional glass transition concepts.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Homogeneous systems typically lack glassy behavior.
  • Understanding glassy dynamics in non-random systems is crucial.
  • Traditional models often rely on quenched disorder.

Purpose of the Study:

  • Introduce a simple 2D spin model with short-range interactions.
  • Investigate glassy behavior in a homogeneous, non-random system.
  • Analyze equilibrium and aging dynamics.

Main Methods:

  • Exact analytical solution for the static partition function.
  • Calculation of energy barrier distributions.
  • Simulations of instantaneous quenches and annealing.
  • Measurement of two-time spin correlations.

Main Results:

  • The model exhibits glassy behavior despite its homogeneous nature.
  • Equilibration time scales were determined analytically.
  • Simulations confirmed analytic predictions.
  • Observed aging behavior consistent with barrier height distribution.
  • No sharp glass transition was detected.

Conclusions:

  • The model demonstrates that glassy dynamics can arise without quenched disorder.
  • Equilibrium is lost gradually, with a temperature decreasing logarithmically with cooling time.
  • The findings offer new insights into the nature of glass transitions.