- 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 ... [Read More]
- Total Size
- 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
- Creator
- DOI
- 10.7924/r4qz29054
- Publication Date
- March 1, 2021
- ARK
- ark:/87924/r4qz29054
- Affiliation
- Publisher
- Type
- 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
- Repository
