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Efficient measurement of the percolation threshold for fully penetrable discs
Open accessAbstract
We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that ϕ c = 0.676 339±0.000 004, thus providing an extra significant digit of accuracy to this constant.
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Cited by
Barthélemy, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2010.11.002 · Cited by 2,469
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Höfling, F., & Franosch, T. (2013) · Reports on Progress in Physics · doi:10.1088/0034-4885/76/4/046602 · Cited by 1,247
Metadata
- Authors
- Quintanilla, J., Torquato, S., & Ziff, R. M.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2000-10-11
- Volume
- 33
- Issue
- 42
- Pages
- L399-L407
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2134547952
- Cited by
- 232
- References
- 0
- FWCI
- 3.55
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Quintanilla, J., Torquato, S., & Ziff, R. M. (2000). Efficient measurement of the percolation threshold for fully penetrable discs. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/33/42/104
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