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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.00379 |
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| _version_ | 1866914736265756672 |
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| author | Junior, Antonio Cesar do Prado Rosa Junior, Elias Brito Alves Santana, Wanisson Silva Cruz, Clebson |
| author_facet | Junior, Antonio Cesar do Prado Rosa Junior, Elias Brito Alves Santana, Wanisson Silva Cruz, Clebson |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-additive Stochastic Model for Supercooled Liquids: New Perspectives for Glass Science Junior, Antonio Cesar do Prado Rosa Junior, Elias Brito Alves Santana, Wanisson Silva Cruz, Clebson Statistical Mechanics 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. |
| title | Non-additive Stochastic Model for Supercooled Liquids: New Perspectives for Glass Science |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.00379 |