| Issue |
EPL
Volume 84, Number 6, December 2008
|
|
|---|---|---|
| Article Number | 66002 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/84/66002 | |
| Published online | 05 December 2008 | |
Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS), Fakultät für Physik, Ludwig-Maximilians-Universität München - Theresienstraße 37, 80333 München, Germany, EU
Corresponding author: felix.hoefling@lmu.de
Received:
7
November
2008
Accepted:
20
November
2008
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.
PACS: 64.60.ah – General studies of phase transitions: Percolation / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics
© EPLA, 2008
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