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. https://doi.org/10.7924/r4sb44m3b

Creator

• Biroli, Giulio
• Hu, Yi
• Charbonneau, Patrick
• Szamel, Grzegorz
• Zamponi, Francesco
• Ikeda, Harukuni

DOI

• 10.7924/r4sb44m3b

Subject

• Mean-field theory
• Dynamical transition
• Random Lorentz gas

Publication Date

• May 25, 2021

ARK

• ark:/87924/r4sb44m3b

Affiliation

• Chemistry

Publisher

• Duke Research Data Repository

Type

• Dataset

Format

• DAT
• M
• EPS

Related Materials

• Biroli, G., Charbonneau, P., Hu, Y., Ikeda, H., Szamel, G., & Zamponi, F. (2021). Mean-field caging in a random Lorentz gas. J. Phys. Chem. B, 125, 6244-6254.  https://doi.org/10.1021/acs.jpcb.1c02067

Funding Agency

• Simons Foundation

Grant Number

• #454937

Contact

• Yi Hu: yi.hu@duke.edu; ORCID 0000-0002-0318-9561

License

• Creative Commons CC0 1.0 Universal

Title

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

License

• http://creativecommons.org/publicdomain/zero/1.0/

Repository

• Duke Research Data Repository

Thumbnail	Title	Date Uploaded		Actions
	readme.md	2021-05-25	Public	Download
	data	2021-05-25	Public
	figures	2021-05-25	Public
	plotscripts_cagingpaper	2021-05-25	Public