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The Angell Plot from the Potential Energy Landscape Perspective

Materials Science 2023-01-04 v1 Soft Condensed Matter Statistical Mechanics

Abstract

Within the scenario of the potential energy landscape (PEL), a thermodynamic model has been developed to uncover the physics behind the Angell plot. In our model, by separating the barrier distribution in PELs into a Gaussian-like and a power-law form, we obtain a general relationship between the relaxation time and the temperature. The wide range of the experimental data in the Angell plot, as well as the molecular-dynamics data, can be excellently fitted by two characteristic parameters, the effective barrier ({\omega}) and the effective width ({\sigma}) of a Gaussian-like distribution. More importantly, the fitted {\omega} and {\sigma}^2 for all glasses are found to have a simple linear relationship within a very narrow band, and fragile and strong glasses are well separated in the {\omega}-{\sigma}^2 plot, which indicates that glassy states only appear in a specific region of the PEL.

Keywords

Cite

@article{arxiv.2203.11428,
  title  = {The Angell Plot from the Potential Energy Landscape Perspective},
  author = {D. M. Zhang and D. Y. Sun and X. G. Gong},
  journal= {arXiv preprint arXiv:2203.11428},
  year   = {2023}
}
R2 v1 2026-06-24T10:21:24.643Z