Data and scripts from: High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas

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  • The random Lorentz gas (RLG) is a minimal model for transport in disordered media. Despite the broad relevance of the model, theoretical grasp over its properties remains weak. For instance, the scaling with dimension $d$ of its localization transition at the void percolation threshold is not well controlled analytically nor computationally. A recent study [Biroli et al. Phys. Rev. E 103, L030104 (2021)] of the caging behavior of the RLG motivated by the mean-field theory of glasses has uncovered physical inconsistencies in that scaling that heighten the need for guidance. Here, we first extend analytical expectations for asymptotic high-d bounds on the void percolation threshold, and then computationally evaluate both the threshold and its criticality in various d. In high-d systems, we observe that the standard percolation physics is complemented by a dynamical slowdown of the tracer dynamics reminiscent of mean-field caging. A simple modification of the RLG is found to bring the interplay between percolation and mean-field-like caging down to d=3. ... [Read More]

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18 files (1.49 MB)
Data Citation
  • Charbonneau, B., Charbonneau, P., Hu, Y., & Yang, Z. (2021). Data and scripts from: High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas. Duke Research Data Repository. https://doi.org/10.7924/r4s46r07b
DOI
  • 10.7924/r4s46r07b
Publication Date
ARK
  • ark:/87924/r4s46r07b
Affiliation
Type
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Related Materials
Funding Agency
  • Simons Foundation
Grant Number
  • 454937
Contact
  • ORCID 0000-0002-0318-9561
Title
  • Data and scripts from: High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas

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