Configuration-tree theoretical calculation of the mean-squared displacement of particles in glass formers

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Original languageEnglish
Article number094014
Journal / PublicationJournal of Statistical Mechanics: Theory and Experiment
Issue number9
Online published10 Sep 2019
Publication statusPublished - Sep 2019
Externally publishedYes


We report an analytical evaluation of the mean-squared displacement (MSD) of the particles in glasses based on their coarse grained trajectories, after their vibrations are averaged out. The calculation is conducted by means of a local random configuration-tree theory that was recently proposed by one of us (Lam 2018 J. Stat. Mech. 023301). It assumes that system dynamics is dominated by activated particle hops initiated by voids and that particles are distinguishable with, in general, diverse properties. Results are compared with the numerical simulations of a lattice glass model, and satisfactory agreement has been obtained for various density of particles over a wide range of temperatures in the entire region of time with only two parameters.

Research Area(s)

  • aging, glasses (structural), glassy dynamics, slow relaxation

Citation Format(s)