Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
Statistical Mechanics
2008-12-08 v1 Disordered Systems and Neural Networks
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.
Keywords
Cite
@article{arxiv.0811.1414,
title = {Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems},
author = {Axel Kammerer and Felix Höfling and Thomas Franosch},
journal= {arXiv preprint arXiv:0811.1414},
year = {2008}
}
Comments
6 pages, 5 figures, 1 table