Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/89847| Title: | Exact site-percolation probability on the square lattice |
| Author(s): | Mertens, Stephan |
| Issue Date: | 2021 |
| Type: | Article |
| Language: | English |
| URN: | urn:nbn:de:gbv:ma9:1-1981185920-918022 |
| Subjects: | Site-percolation Square lattice |
| Abstract: | We present an algorithm to compute the exact probability Rn(p) for a site percolation cluster to span an n n square lattice at occupancy p. The algorithm has time and space complexity O( n) with 2:6. It allows us to compute Rn(p) up to n = 24. We use the data to compute estimates for the percolation threshold pc that are several orders of magnitude more precise than estimates based on Monte-Carlo simulations. |
| URI: | https://opendata.uni-halle.de//handle/1981185920/91802 http://dx.doi.org/10.25673/89847 |
| Open Access: |  Open access publication |
| License: |  https://creativecommons.org/licenses/by/4.0/de/ |
| Sponsor/Funder: | Transformationsvertrag |
| Journal Title: | Journal of physics / A |
| Publisher: | IOP Publ. |
| Publisher Place: | Bristol |
| Issue: | 2021 |
| Original Publication: | 10.1088/1751-8121/ac4195 |
| Page Start: | 1 |
| Page End: | 24 |
| Appears in Collections: | Fakultät für Naturwissenschaften (OA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Mertens_Stephan_Exact site-percolation_2021.pdf | Zweitveröffentlichung | 900.67 kB | Adobe PDF |  View/Open |