- The site and bond percolation problems are conventionally studied on (hyper)cubic lattices, which afford straightforward numerical treatments. The recent implementation of efficient simulation algorithms for high-dimensional systems now also facilitates the study of D_n root lattices in n dimension as well as E_8-related lattices. Here, we consider the percolation problem on D_n for n=3 to 13 and on E_8 relatives for n=6 to 9. Precise estimates for both site and bond percolation thresholds obtained from invasion percolation simulations are compared with dimensional series expansion based on lattice animal enumeration for D_n lattices. As expected, the bond percolation threshold rapidly approaches the Bethe lattice limit as n ... [Read More]
- Total Size
- 60 files (402 KB)
- Data Citation
- Hu, Y., & Charbonneau, P. (2021). Data and scripts from: Percolation thresholds on high-dimensional D_n and E_8-related lattices. Duke Research Data Repository. https://doi.org/10.7924/r4fx7bk95
- Creator
- DOI
- 10.7924/r4fx7bk95
- Publication Date
- June 2, 2021
- ARK
- ark:/87924/r4fx7bk95
- Affiliation
- Publisher
- Type
- Related Materials
- Funding Agency
- Simons Foundation
- Grant Number
- 454937
- Contact
- Yi Hu: yi.hu@duke.edu
- Title
- Data and scripts from: Percolation thresholds on high-dimensional D_n and E_8-related lattices
- Repository
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readme.md | 2021-06-02 | Download | |
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Figures | 2021-06-02 |