https://doi.org/10.1140/epjb/s10051-024-00761-w
Topical Review
Non-additive stochastic model for supercooled liquids: new perspectives for glass science
Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, 47810-059, Barreiras, Bahia, Brasil
Received:
1
April
2024
Accepted:
29
July
2024
Published online:
12
August
2024
We present a review of the Non-additive Stochastic Model (NSM) for supercooled liquids, an efficient approach for diffusive processes that provide a suitable interpretation for the non-Arrhenius dynamics in these materials. Based on a class of non-homogeneous continuity equations, the NSM provides functions 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 others viscosity classic models.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
