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dc.contributor.authorLorenz, Christian D.en_US
dc.contributor.authorZiff, Robert M.en_US
dc.date.accessioned2006-12-19T18:52:40Z
dc.date.available2006-12-19T18:52:40Z
dc.date.issued1998-10-09en_US
dc.identifier.citationLorenz, Christian D; Ziff, Robert M (1998). "Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation ." Journal of Physics A: Mathematical and General. 31(40): 8147-8157. <http://hdl.handle.net/2027.42/48837>en_US
dc.identifier.issn0305-4470en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48837
dc.description.abstractExtensive Monte Carlo simulations were performed to evaluate the excess number of clusters and the crossing probability function for three-dimensional percolation on the simple cubic (s.c.), face-centred cubic (f.c.c.), and body-centred cubic (b.c.c.) lattices. Systems with were studied for both bond (s.c., f.c.c., b.c.c.) and site (f.c.c.) percolation. The excess number of clusters per unit length was confirmed to be a universal quantity with a value . Likewise, the critical crossing probability in the direction, with periodic boundary conditions in the plane, was found to follow a universal exponential decay as a function of for large r. Simulations were also carried out to find new precise values of the critical thresholds for site percolation on the f.c.c. and b.c.c. lattices, yielding , . We also report the value for site percolation.en_US
dc.format.extent3118 bytes
dc.format.extent151114 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleUniversality of the excess number of clusters and the crossing probability function in three-dimensional percolationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Ann Arbor, MI 48109-2136, USAen_US
dc.contributor.affiliationumUniversity of Michigan, Ann Arbor, MI 48109-2136, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48837/2/a84007.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/0305-4470/31/40/009en_US
dc.identifier.sourceJournal of Physics A: Mathematical and General.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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