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 http://dx.doi.org/10.1209/0295-5075/84/66002
Published online 05 December 2008
EPL, 84 (2008) 66002
DOI: 10.1209/0295-5075/84/66002

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

Axel Kammerer, Felix Höfling and Thomas Franosch

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

felix.hoefling@lmu.de

received 7 November 2008; accepted in final form 20 November 2008; published December 2008
published online 5 December 2008

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.

PACS
64.60.ah - General studies of phase transitions: Percolation.
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.

© EPLA 2008