The efficient determination of the percolation threshold by a frontier-generating walk in a gradient
dc.contributor.author | Ziff, Robert M. | en_US |
dc.contributor.author | Sapoval, B. | en_US |
dc.date.accessioned | 2006-12-19T18:50:09Z | |
dc.date.available | 2006-12-19T18:50:09Z | |
dc.date.issued | 1986-12-21 | en_US |
dc.identifier.citation | Ziff, R M; Sapoval, B (1986). "The efficient determination of the percolation threshold by a frontier-generating walk in a gradient." Journal of Physics A: Mathematical and General. 19(18): L1169-L1172. <http://hdl.handle.net/2027.42/48807> | en_US |
dc.identifier.issn | 0305-4470 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/48807 | |
dc.description.abstract | The frontier in gradient percolation is generated directly by a type of self-avoiding random walk. The existence of the gradient permits one to generate an infinite walk on a computer of finite memory. From this walk, the percolation threshold pc for a two-dimensional lattice can be determined with apparently maximum efficiency for a naive Monte Carlo calculation (+or-N-12/). For a square lattice, the value pc=0.592745+or-0.000002 is found for a simulation of N=2.6*1011 total steps (occupied and blocked perimeter sites). The power of the method is verified on the Kagome site percolation case. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 262416 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | The efficient determination of the percolation threshold by a frontier-generating walk in a gradient | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationother | Dept. of Chem. Eng., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Chem. Eng., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/48807/2/jav19i18pL1169.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0305-4470/19/18/010 | en_US |
dc.identifier.source | Journal of Physics A: Mathematical and General. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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