English

General Two-Parameter Model of Alpha-Relaxation in Glasses

Disordered Systems and Neural Networks 2026-04-16 v2 Mesoscale and Nanoscale Physics Materials Science Soft Condensed Matter Statistical Mechanics

Abstract

In the vicinity of the glass transition, the characteristic relaxation time (e.g., the alpha-relaxation time in dielectric spectroscopy) of a glass-former exhibits a strongly super-Arrhenius temperature dependence, as compared to the classical Arrhenius behavior at high temperatures. A comprehensive description of both regions thus requires five parameters. Here, we demonstrate that many glass-formers exhibit a universal scaling, with only two material-specific parameters setting the timescale and the temperature scale; the other three being universal constants. Furthermore, we show that the master curve can be described by the recently developed two-state, two-(time) scale (TS2) theory (Soft Matter 2020, 16, 810) and regress the universal TS2 parameters. We also show the connection between the TS2 model and the Hall-Wolynes elastic relaxation theory.

Keywords

Cite

@article{arxiv.2507.17490,
  title  = {General Two-Parameter Model of Alpha-Relaxation in Glasses},
  author = {Valeriy V. Ginzburg and Oleg Gendelman and Riccardo Casalini and Alessio Zaccone},
  journal= {arXiv preprint arXiv:2507.17490},
  year   = {2026}
}

Comments

Will be submitted to Phys. Rev. Lett

R2 v1 2026-07-01T04:15:14.113Z