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 Matter16, 810 (2026) 10.1039/C9SM01575B] and regress the general TS2 parameters. We also show the connection between the TS2 model and the Hall-Wolynes elastic relaxation theory.
General two-parameter model of alpha-relaxation in glasses / V.V. Ginzburg, O.G.. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 113:4(2026 Apr 15), pp. L043402.1-L043402.7. [10.1103/99c2-1znq]
General two-parameter model of alpha-relaxation in glasses
A. ZacconeUltimo
2026
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 Matter16, 810 (2026) 10.1039/C9SM01575B] and regress the general TS2 parameters. We also show the connection between the TS2 model and the Hall-Wolynes elastic relaxation theory.| File | Dimensione | Formato | |
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2507.17490v2.pdf
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99c2-1znq.pdf
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