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  • Letter

General two-parameter model of alpha-relaxation in glasses

Valeriy V. Ginzburg1,*, Oleg Gendelman2, Riccardo Casalini3, and Alessio Zaccone4

  • *Contact author: ginzbur7@msu.edu

Phys. Rev. E 113, L043402 – Published 15 April, 2026

DOI: https://doi.org/10.1103/99c2-1znq

Abstract

In the vicinity of the glass transition, the characteristic relaxation time (e.g., the α-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 general scaling, with only two material-specific parameters setting the timescale and the temperature scale; the other three being material-independent constants. Furthermore, we show that the master curve can be described by the recently developed two-state, two-(time) scale (TS2) theory [V. Ginzburg, Soft Matter 16, 810 (2020)] and regress the general TS2 parameters. We also show the connection between the TS2 model and the Hall-Wolynes elastic relaxation theory.

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