On Cardy's formula for the critical crossing probability in 2D percolation
dc.contributor.author | Ziff, Robert M. | en_US |
dc.date.accessioned | 2006-12-19T18:52:24Z | |
dc.date.available | 2006-12-19T18:52:24Z | |
dc.date.issued | 1995-03-07 | en_US |
dc.identifier.citation | Ziff, R M (1995). "On Cardy's formula for the critical crossing probability in 2D percolation." Journal of Physics A: Mathematical and General. 28(5): 1249-1255. <http://hdl.handle.net/2027.42/48834> | en_US |
dc.identifier.issn | 0305-4470 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/48834 | |
dc.description.abstract | Cardy's formula for the probability pi nu (r) of crossing a rectangular critical percolation system in the vertical direction, with free boundaries on the two sides, is written explicitly in terms of the aspect ratio r=height/width. The first three terms are given by pi nu (r)=243/3 Gamma (2/3)/ Gamma (1/3)2(e- pi r3/-4/7e-7 pi 3/+2/13e-13 pi r3/...) which, with pi nu (r)=1- pi nu (1/r), are sufficient to determine pi nu (r) to high accuracy for all r. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 281076 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 | On Cardy's formula for the critical crossing probability in 2D percolation | 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.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/48834/2/ja950513.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0305-4470/28/5/013 | en_US |
dc.identifier.source | Journal of Physics A: Mathematical and General. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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