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arXiv · 1812.03856

Configuration-tree Theoretical Calculation of the Mean-Squared Displacement of Particles in Glass Formers

Hai-Yao Deng·Chun-Shing Lee·Matteo Lulli·Ling-Han Zhang·Chi-Hang Lam
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Abstract

We report an analytical evaluation of the mean-squared displacement (MSD) of the particles in glasses based on their coarse grained trajectories. The calculation is conducted by means of a local random configuration-tree theory that was recently proposed by one of us [C.-H. Lam, J. Stat. Mech. \textbf{2018}, 023301 (2018)]. Results are compared with the numerical simulations of a lattice glass model, and good quantitative agreement has been obtained over a wide range of temperatures in the entire region of time with virtually no free parameters. To the best of our knowledge, the calculation is the first in its kind.

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Hai-Yao Deng, Chun-Shing Lee, Matteo Lulli, Ling-Han Zhang, Chi-Hang Lam. 2019-09-10. Configuration-tree Theoretical Calculation of the Mean-Squared Displacement of Particles in Glass Formers. https://doi.org/10.1088/1742-5468%2Fab39d7

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