Finite Size Scaling for Percolation on Elongated Lattices in Two and Three Dimensions

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dc.contributor.authorMarrink, S
dc.contributor.authorKnackstedt, Mark
dc.date.accessioned2015-12-13T23:16:40Z
dc.date.available2015-12-13T23:16:40Z
dc.date.issued2000
dc.date.updated2015-12-12T08:49:11Z
dc.description.abstractShifting of percolation threshold of an elongated lattice towards higher values is shown by the statistical arguments. The scaling behavior of the lattices is confirmed by the Monte carlo simulations. The density of the incipient cluster at the percolation threshold scales differs in both two and three dimensions. Percolation probability in the elongated geometry depends on the aspect ratio of the lattice. In three dimensions, the connection probability is smaller than the percolation probability.
dc.identifier.issn1063-651X
dc.identifier.urihttp://hdl.handle.net/1885/89528
dc.publisherAmerican Physical Society
dc.sourcePhysical Review E
dc.subjectKeywords: Aspect ratio; Computer simulation; Crystal lattices; Geometry; Monte Carlo methods; Probability distributions; Statistical mechanics; Connection probability; Elongated lattices; Finite size scaling; Percolation density; Percolation threshold scales; Scali
dc.titleFinite Size Scaling for Percolation on Elongated Lattices in Two and Three Dimensions
dc.typeJournal article
local.bibliographicCitation.lastpage3214
local.bibliographicCitation.startpage3205
local.contributor.affiliationMarrink, S, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationKnackstedt, Mark, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMarrink, S, t313
local.contributor.authoruidKnackstedt, Mark, u4031845
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationMigratedxPub19589
local.identifier.citationvolume62
local.identifier.doi10.1103/PhysRevE.62.3205
local.identifier.scopusID2-s2.0-0034272215
local.type.statusPublished Version

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