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

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

2008-11-10

arxiv.org/abs/0811.1414v1

EPL 84, 66002 (2008)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures, 1 table

Scientific paper

10.1209/0295-5075/84/66002

For 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.

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