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Definition of Percolation Thresholds on Self-Affine Surfaces

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Marrink, S; Paterson, Lincoln; Knackstedt, Mark

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We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.

dc.contributor.authorMarrink, S
dc.contributor.authorPaterson, Lincoln
dc.contributor.authorKnackstedt, Mark
dc.date.accessioned2015-12-13T23:16:38Z
dc.identifier.issn0378-4371
dc.identifier.urihttp://hdl.handle.net/1885/89513
dc.description.abstractWe study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.
dc.publisherElsevier
dc.sourcePhysica A: Statistical mechanics and its applications
dc.subjectKeywords: Brownian movement; Correlation methods; Fractals; Percolation (fluids); Porous materials; Sedimentary rocks; Percolation theory; Statistical mechanics
dc.titleDefinition of Percolation Thresholds on Self-Affine Surfaces
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume280
dc.date.issued2000
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub19569
local.type.statusPublished Version
local.contributor.affiliationMarrink, S, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationPaterson, Lincoln, CSIRO Division of Petroleum Resources
local.contributor.affiliationKnackstedt, Mark, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage207
local.bibliographicCitation.lastpage214
local.identifier.doi10.1016/S0378-4371(99)00608-1
dc.date.updated2015-12-12T08:49:02Z
local.identifier.scopusID2-s2.0-0033732521
CollectionsANU Research Publications

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