Dynamics of driven interfaces near isotropic percolation transition

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorKuittu, M.-P.
dc.contributor.authorHaataja, M.
dc.contributor.authorProvatas, N.
dc.contributor.authorAla-Nissilä, Tapio
dc.contributor.departmentTeknillisen fysiikan laitosfi
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.schoolPerustieteiden korkeakoulufi
dc.contributor.schoolSchool of Scienceen
dc.date.accessioned2015-04-28T09:44:58Z
dc.date.available2015-04-28T09:44:58Z
dc.date.issued1998
dc.description.abstractWe consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete “forest fire” lattice models through Monte Carlo simulations in two and three spatial dimensions. An interface generated in the models is found to display complex behavior. Away from the percolation transition, the interface is self-affine with asymptotic dynamics consistent with the Kardar-Parisi-Zhang universality class. However, in the vicinity of the percolation transition, there is a different behavior at earlier times. By scaling arguments we show that the global scaling exponents associated with the kinetic roughening of the interface can be obtained from the properties of the underlying percolation cluster. Our numerical results are in good agreement with theory. However, we demonstrate that at the depinning transition, the interface as defined in the models is no longer self-affine. Finally, we compare these results with those obtained from a more realistic reaction-diffusion model of slow combustion.en
dc.description.versionPeer revieweden
dc.format.extent1514-1520
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKuittu, M.-P. & Haataja, M. & Provatas, N. & Ala-Nissilä, Tapio. 1998. Dynamics of driven interfaces near isotropic percolation transition. Physical Review E. Volume 58, Issue 2. P. 1514-1520. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.1514.en
dc.identifier.doi10.1103/physreve.58.1514
dc.identifier.issn1539-3755 (printed)
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/15805
dc.identifier.urnURN:NBN:fi:aalto-201504282466
dc.language.isoenen
dc.publisherAmerican Physical Society (APS)en
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseriesVolume 58, Issue 2
dc.rights© 1998 American Physical Society (APS). http://www.aps.orgen
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keywordinterfacesen
dc.subject.keyworddynamicsen
dc.subject.keywordkinetic rougheningen
dc.subject.keywordlattice modelsen
dc.subject.keywordMonte Carlo simulationsen
dc.subject.otherPhysicsen
dc.titleDynamics of driven interfaces near isotropic percolation transitionen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.dcmitypetexten
dc.type.versionFinal published versionen
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