Data and Scripts from: Interplay between percolation and glassiness in the random Lorentz gas

Public

  • The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media that exhibits a continuous localization transition controlled by void space percolation. The RLG also provides a toy model of particle caging, which is known to be relevant for describing the discontinuous dynamical transition of glasses. In order to clarify the interplay between the seemingly incompatible percolation and caging descriptions of the RLG, we consider its exact mean-field solution in the infinite-dimensional limit and perform numerics in d=2 to 20. We find that for sufficiently high $d$ the mean-field caging transition precedes and prevents the percolation transition, which only happens on timescales diverging with $d$. We further show that activated processes related to rare cage escapes destroy the glass transition in finite dimensions, leading to a rich interplay between glassiness and percolation physics. This advance suggests that the RLG can be used as a toy model to develop a first-principle description of particle hopping in structural glasses. ... [Read More]

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5 files (524 KB)
Data Citation
  • Biroli, G., Charbonneau, P., Corwin, E. I., Hu, Y., Ikeda, H., Szamel, G., & Zamponi, F. (2021). Data and Scripts from: Interplay between percolation and glassiness in the random Lorentz gas. Duke Research Data Repository. https://doi.org/10.7924/r4qz29054
DOI
  • 10.7924/r4qz29054
Publication Date
ARK
  • ark:/87924/r4qz29054
Affiliation
Type
Format
Related Materials
Funding Agency
  • Simons Foundation
Grant Number
  • 454937
Contact
  • ORCID 0000-0002-0318-9561
Title
  • Data and Scripts from: Interplay between percolation and glassiness in the random Lorentz gas

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