Data from: Mean-field caging in a random Lorentz gas


  • The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional limit: the localization transition is then expected to be continuous for the former and discontinuous for the latter. As a putative resolution, we have recently suggested that as d increases the behavior of the RLG converges to the glassy description, and that percolation physics is recovered thanks to finite-d perturbative and non-perturbative (instantonic) corrections [Biroli et al. Phys. Rev. E {2021}, 103, L030104]. Here, we expand on the d→∞ physics by considering a simpler static solution as well as the dynamical solution of the RLG. Comparing the 1/d correction of this solution with numerical results reveals that even perturbative corrections fall out of reach of existing theoretical descriptions. Comparing the dynamical solution with the mode-coupling theory (MCT) results further reveals that although key quantitative features of MCT are far off the mark, it does properly capture the discontinuous nature of the d→∞ RLG. These insights help chart a path toward a complete description of finite-dimensional glasses. ... [Read More]

Total Size
56 files (453 KB)
Data Citation
  • Biroli, G., Charbonneau, P., Hu, Y., Ikeda, H., Szamel, G., & Zamponi, F. (2021). Data from: Mean-field caging in a random Lorentz gas. Duke Research Data Repository.
  • 10.7924/r4sb44m3b
Publication Date
  • ark:/87924/r4sb44m3b
Related Materials
Funding Agency
  • Simons Foundation
Grant Number
  • #454937
  • Data from: Mean-field caging in a random Lorentz gas