Stress auto-correlation tensor in glass-forming isothermal fluids : From viscous to elastic response

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The Journal of Chemical Physics. 2018, 149(8), 084502. ISSN 0021-9606. eISSN 1089-7690. Available under: doi: 10.1063/1.5044662
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We develop a generalized hydrodynamic theory, which can account for the build-up of long-ranged and long-lived shear stress correlations in supercooled liquids as the glass transition is approached. Our theory is based on the decomposition of tensorial stress relaxation into fast microscopic processes and slow dynamics due to conservation laws. In the fluid, anisotropic shear stress correlations arise from the tensorial nature of stress. By approximating the fast microscopic processes by a single relaxation time in the spirit of Maxwell, we find viscoelastic precursors of the Eshelby-type correlations familiar in an elastic medium. The spatial extent of shear stress fluctuations is characterized by a correlation length ξ which grows like the viscosity η or time scale τ ∼ η, whose divergence signals the glass transition. In the solid, the correlation length is infinite and stress correlations decay algebraically as r−d in d dimensions.

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ISO 690MAIER, Manuel, Annette ZIPPELIUS, Matthias FUCHS, 2018. Stress auto-correlation tensor in glass-forming isothermal fluids : From viscous to elastic response. In: The Journal of Chemical Physics. 2018, 149(8), 084502. ISSN 0021-9606. eISSN 1089-7690. Available under: doi: 10.1063/1.5044662
BibTex
@article{Maier2018-08-28Stres-43395,
  year={2018},
  doi={10.1063/1.5044662},
  title={Stress auto-correlation tensor in glass-forming isothermal fluids : From viscous to elastic response},
  number={8},
  volume={149},
  issn={0021-9606},
  journal={The Journal of Chemical Physics},
  author={Maier, Manuel and Zippelius, Annette and Fuchs, Matthias},
  note={Article Number: 084502}
}
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