Data and scripts from: Dimensional study of the dynamical arrest in a random Lorentz gas

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  • The random Lorentz gas is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d=2-6. Comparing the results with standard mode-coupling theory reveals that the dynamical theory prediction grows increasingly worse with d. In an effort to clarify the origin of this discrepancy, we relate the dynamical arrest in the RLG to the dynamic glass transition of the infinite-range Mari-Kurchan model glass former. Through a mixed static and dynamical analysis, we then extract an improved dimensional scaling form as well as a geometrical upper bound for the arrest. The results suggest that understanding the asymptotic behavior of the random Lorentz gas may be key to surmounting fundamental difficulties with the mode-coupling theory of glasses. ... [Read More]

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68 files (917 KB)
Data Citation
  • Jin, Y., & Charbonneau, P. (2023). Data and scripts from: Dimensional study of the dynamical arrest in a random Lorentz gas. Duke Research Data Repository. https://doi.org/10.7924/r47m0gq90
DOI
  • 10.7924/r47m0gq90
Publication Date
ARK
  • ark:/87924/r47m0gq90
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Funding Agency
  • Sloan Foundation
  • National Science Foundation
  • European Research Council
Grant Number
  • ERC Grant Agreement No. 247 328
  • NSF DMR-1055586
Title
  • Data and scripts from: Dimensional study of the dynamical arrest in a random Lorentz gas
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