Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems

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dc.creatorKammerer, Axel
dc.creatorHöfling, Felix
dc.creatorFranosch, Thomas
dc.date2008-11-10
dc.date.accessioned2026-07-07T12:09:44Z
dc.date.available2026-07-07T12:09:44Z
dc.descriptionFor percolating systems, we propose a universal exponent relation connecting the leading corrections to scaling of the cluster size distribution with the dynamic corrections to the asymptotic transport behaviour at criticality. Our derivation is based on a cluster-resolved scaling theory unifying the scaling of both the cluster size distribution and the dynamics of a random walker. We corroborate our theoretical approach by extensive simulations for a site percolating square lattice and numerically determine both the static and dynamic correction exponents.
dc.description6 pages, 5 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0811.1414
dc.identifierhttp://arxiv.org/abs/0811.1414
dc.identifierEPL 84, 66002 (2008)
dc.identifierdoi:10.1209/0295-5075/84/66002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209724
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleCluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
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