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arXiv · 2404.00379

Non-additive Stochastic Model for Supercooled Liquids: New Perspectives for Glass Science

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

We present a review of the Non-additive Stochastic Model for supercooled liquids (NSM), an efficient approach for diffusive processes that provides a suitable interpretation for the non-Arrhenius dynamics in these materials. Based on a class of non-homogeneous continuity equations, the NSM provides functions able to model the thermal behavior of the viscosity and diffusivity in fragile liquids. The model defines a rigorous physical criterion that distinguishes super-Arrhenius from sub-Arrhenius processes, establishes a robust scale of fragility, describes fragile-to-strong curves in Angell's plot, and provides an accurate fitting equation for experimental viscosity data as effective as other viscosity classic models.

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Antonio Cesar do Prado Rosa Junior, Elias Brito Alves Junior, Wanisson Silva Santana, Clebson Cruz. 2024-03-30. Non-additive Stochastic Model for Supercooled Liquids: New Perspectives for Glass Science. https://arxiv.org/abs/2404.00379

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