Qualitative Features at the Glass Crossover

Tommaso Rizzo; Thomas Voigtmann

doi:10.1209/0295-5075/111/56008

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arXiv · 1403.2764

Qualitative Features at the Glass Crossover

Tommaso Rizzo·Thomas Voigtmann

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Abstract

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the intermediate-time dynamics ($\beta$ relaxation), derived by applying dynamical field-theory techniques to the idealized MCT. Combined with the assumption of time-temperature superposition for the slow structural ($\alpha$) relaxation, the model naturally explains three prominent features of the dynamical crossover: the change from a power-law to exponential increase in the structural relaxation time, the replacement of the Stokes-Einstein relation between diffusion and viscosity by a fractional law, and two distinct growth regimes of the thermal susceptibility that has been associated to dynamical heterogeneities.

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BibTeX RIS

Tommaso Rizzo, Thomas Voigtmann. 2014-03-11. Qualitative Features at the Glass Crossover. https://doi.org/10.1209/0295-5075/111/56008

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