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arXiv · 2403.03041

Proof-of-concept for a nonadditive stochastic model of supercooled liquids

Antonio Cesar do Prado Rosa Junior·Elias Brito Alves Junior·Wanisson Silva Santana·Clebson Cruz
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Abstract

The recently proposed non-additive stochastic model (NSM) offers a coherent physical interpretation for diffusive phenomena in glass-forming systems. This model presents non-exponential relationships between viscosity, activation energy, and temperature, characterizing the non-Arrhenius behavior observed in supercooled liquids. In this work, we fit the NSM viscosity equation to experimental temperature-dependent viscosity data corresponding to twenty-five glass-forming liquids and compare the fit parameters with those obtained using the Vogel-Fulcher-Tammann (VFT), Avramov-Milchev (AM), and Mauro-Yue-Ellison-Gupta-Allan (MYEGA) models. The results demonstrate that the NSM provides an effective fitting equation for modeling viscosity experimental data in comparison with other established models (VFT, AM and MYEGA), characterizing the activation energy in fragile liquids, presenting a reliable indicator of the degree of fragility of the glass-forming liquids.

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Antonio Cesar do Prado Rosa Junior, Elias Brito Alves Junior, Wanisson Silva Santana, Clebson Cruz. 2024-03-05. Proof-of-concept for a nonadditive stochastic model of supercooled liquids. https://arxiv.org/abs/2403.03041

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