English

Qualitative Features at the Glass Crossover

Statistical Mechanics 2015-10-07 v2 Disordered Systems and Neural Networks Soft Condensed Matter

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 (β\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 (α\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.

Keywords

Cite

@article{arxiv.1403.2764,
  title  = {Qualitative Features at the Glass Crossover},
  author = {Tommaso Rizzo and Thomas Voigtmann},
  journal= {arXiv preprint arXiv:1403.2764},
  year   = {2015}
}
R2 v1 2026-06-22T03:24:45.466Z