• Corpus ID: 118550749

Shear-Transformation-Zone Theory of Glassy Diffusion, Stretched Exponentials, and the Stokes-Einstein Relation

@article{Langer2011ShearTransformationZoneTO,
  title={Shear-Transformation-Zone Theory of Glassy Diffusion, Stretched Exponentials, and the Stokes-Einstein Relation},
  author={James Langer},
  journal={arXiv: Statistical Mechanics},
  year={2011}
}
  • J. Langer
  • Published 12 August 2011
  • Mathematics, Physics
  • arXiv: Statistical Mechanics
The success of the shear-transformation-zone (STZ) theory in accounting for broadly peaked, frequency-dependent, glassy viscoelastic response functions is based on the theory's first-principles prediction of a wide range of internal STZ transition rates. Here, I propose that the STZ's are the dynamic heterogeneities frequently invoked to explain Stokes-Einstein violations and stretched-exponential relaxation in glass-forming materials. I find that, to be consistent with observations of Fickian… 
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Figures from this paper

Breakdown of the Stokes-Einstein relation in two, three, and four dimensions.
TLDR
An investigation of the breakdown of the Stokes-Einstein relation between diffusivity and viscosity at low temperatures in 2, 3, and 4 dimensions finds that the degree of the SE breakdown and measures of heterogeneity of dynamics are generally well correlated but with some exceptions.

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