Similarity of Percolation Thresholds on the HCP and FCC Lattices
dc.contributor.author | Lorenz, Christian D. | en_US |
dc.contributor.author | May, Raechelle | en_US |
dc.contributor.author | Ziff, Robert M. | en_US |
dc.date.accessioned | 2006-09-11T15:45:40Z | |
dc.date.available | 2006-09-11T15:45:40Z | |
dc.date.issued | 2000-02 | en_US |
dc.identifier.citation | Lorenz, Christian D.; May, Raechelle; Ziff, Robert M.; (2000). "Similarity of Percolation Thresholds on the HCP and FCC Lattices." Journal of Statistical Physics 98 (3-4): 961-970. <http://hdl.handle.net/2027.42/45178> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45178 | |
dc.description.abstract | Extensive Monte Carlo simulations were performed in order to determine the precise values of the critical thresholds for site ( p hcp c , S =0.199 255 5±0.000 001 0) and bond ( p hcp c , B =0.120 164 0±0.000 001 0) percolation on the hcp lattice to compare with previous precise measurements on the fcc lattice. Also, exact enumeration of the hcp and fcc lattices was performed and yielded generating functions and series for the zeroth, first, and second moments of both lattices. When these series and the values of p c are compared to those for the fcc lattice, it is apparent that the site percolation thresholds are different; however, the bond percolation thresholds are equal within error bars, and the series only differ slightly in the higher order terms, suggesting the actual values are very close to each other, if not identical. | en_US |
dc.format.extent | 167407 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Percolation | en_US |
dc.subject.other | Series Expansion | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Hcp Lattice | en_US |
dc.subject.other | Fcc Lattice | en_US |
dc.subject.other | Exact Enumeration | en_US |
dc.title | Similarity of Percolation Thresholds on the HCP and FCC Lattices | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45178/1/10955_2004_Article_222436.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1018648130343 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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