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Predicting the Temperature Range of Arrhenius Crossover of Structural Relaxation in Fragile Glass-forming Liquids

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Abstract

In the present study, we show that the range of the temperature ratio TA/Tg for fragile glass-forming liquids is predicted by adopting TA ~ Tx, where TA is the temperature that the Arrhenius crossover appears and Tx is the cooperativity onset temperature extracted from the Bond Strength–Coordination Number Fluctuation model proposed by the authors. Specifically, when the above relation is used in conjunction with the two-thirds rule (Tg/Tm = 2/3) and the empirical criterion for good glass-formers (TA/Tm \( \gtrsim \) 1.0), the predicted range of the Arrhenius crossover is calculated to be 1.5 \( \lesssim \) TA/Tg < 2.1. This range is in good agreement with the values confirmed in fragile systems, encompassing a wide range of glass-forming materials, excepting the network systems.

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Funding

This work was supported in part by JST CREST, Japan, JPMJCR1861 and JPMJCR18I2, and by JSPS KAKENHI nos. 21K04660, 20K05080, and 20H02430.

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Authors and Affiliations

  1. Department of General Education, National Institute of Technology, Oita College, 870-0152, Oaza, Oita, 1666 Maki, Japan

    Masahiro Ikeda

  2. Department of Physics, Faculty of Advanced Science and Technology, Kumamoto University, 860-8555, Kumamoto, Japan

    Masaru Aniya

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  1. Masahiro Ikeda
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  2. Masaru Aniya
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Correspondence to Masahiro Ikeda.

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Masahiro Ikeda, Masaru Aniya Predicting the Temperature Range of Arrhenius Crossover of Structural Relaxation in Fragile Glass-forming Liquids. Glass Phys Chem 47, 427–430 (2021). https://doi.org/10.1134/S1087659621050072

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  • DOI: https://doi.org/10.1134/S1087659621050072

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