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arXiv · 0811.1414

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

Axel Kammerer·Felix Höfling·Thomas Franosch
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Abstract

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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Axel Kammerer, Felix Höfling, Thomas Franosch. 2008-11-10. Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems. https://doi.org/10.1209/0295-5075/84/66002

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