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Non-additive stochastic model for supercooled liquids: new perspectives for glass science

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Listed:
  • Antonio Cesar Prado Rosa Jr.

    (Universidade Federal do Oeste da Bahia)

  • Elias Brito

    (Universidade Federal do Oeste da Bahia)

  • Wanisson Santana

    (Universidade Federal do Oeste da Bahia)

  • Clebson Cruz

    (Universidade Federal do Oeste da Bahia)

Abstract

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. Graphic abstract

Suggested Citation

  • Antonio Cesar Prado Rosa Jr. & Elias Brito & Wanisson Santana & Clebson Cruz, 2024. "Non-additive stochastic model for supercooled liquids: new perspectives for glass science," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(8), pages 1-7, August.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:8:d:10.1140_epjb_s10051-024-00761-w
    DOI: 10.1140/epjb/s10051-024-00761-w
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    References listed on IDEAS

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    1. V. Schwämmle & E. M.F. Curado & F. D. Nobre, 2009. "Dynamics of normal and anomalous diffusion in nonlinear Fokker-Planck equations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 107-116, July.
    2. Rosa, A.C.P. & Vaveliuk, Pablo & Mundim, Kleber C. & Moret, M.A., 2016. "A model for diffusive systems: Beyond the Arrhenius mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 317-322.
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