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

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.