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Glassy aging with modified Kohlrausch-Williams-Watts form.

Bhaskar Sen Gupta1, Shankar P Das

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
PubMed
Summary

This study investigates aging in glassy states. We propose a new model for dielectric relaxation that accurately fits experimental data, suggesting aging is not solely controlled by equilibrium alpha-relaxation.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Physical Chemistry

Background:

  • Aging in glassy systems is a complex phenomenon.
  • The relationship between nonequilibrium aging and equilibrium alpha-relaxation remains unclear.
  • Previous models, like Lunkenheimer's, use modified Kohlrausch-Williams-Watts functions for dielectric relaxation data.

Purpose of the Study:

  • To determine if aging in the nonequilibrium glassy state is governed by the equilibrium alpha-relaxation process.
  • To propose and validate an alternative functional form for aging time dependence of relaxation time.
  • To compare the stretching exponent in aging with that of alpha-relaxation.

Main Methods:

  • Analysis of dielectric relaxation data from glassy aging experiments.

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  • Development of a novel functional form for the aging time dependence of relaxation time.
  • Comparison of the proposed model's fit with existing models.

    • Main Results:

    • The proposed model provides a perfect fit to the experimental data.
    • The stretching exponent during aging (beta(age)) is found to be different from the alpha-relaxation stretching exponent (beta(alpha)).
    • The new model directly incorporates relaxation time into its functional form.

    Conclusions:

    • Aging in the nonequilibrium glassy state may not be solely controlled by the equilibrium alpha-relaxation process.
    • The proposed functional form offers a more accurate description of glassy aging dynamics.
    • This work provides new insights into the fundamental mechanisms governing relaxation in disordered materials.