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Area of Science:

  • Materials Science
  • Physical Chemistry
  • Condensed Matter Physics

Background:

  • The Stokes-Einstein relation links diffusion and viscosity in liquids but fails near the glass transition.
  • Glass properties, including ionic diffusivity, are influenced by nonequilibrium viscosity, glass transition temperature, and fragility.

Purpose of the Study:

  • To develop a predictive model for ionic diffusivity in glasses based on their nonequilibrium viscosity.
  • To account for the compositional dependence of glass properties in the model.

Main Methods:

  • Derivation of a model relating the free energy activation barrier for diffusion to the activation enthalpy for viscous flow.
  • Utilizing the Mauro-Allan-Potuzak model for nonequilibrium viscosity.
  • Validation through experimental data and nudged-elastic band calculations on sodium silicate and borate glasses.

Main Results:

  • Accurate prediction of activation barriers for alkali ion diffusion in glasses.
  • Demonstration of the model's ability to capture compositional effects on diffusion.

Conclusions:

  • The derived model successfully predicts ionic diffusivity in glasses by linking it to nonequilibrium viscosity.
  • This approach provides a new tool for understanding and engineering the properties of glassy materials.