Random walk on disordered networks
Disordered Systems and Neural Networks
2009-10-28 v1
Abstract
Random walks are studied on disordered cellular networks in 2-and 3-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in term of the structural properties of the cellular system. The effects of disorder and space-curvature on the diffusion phenomena are investigated. In disordered systems the mean square displacement displays an enhancement at short time and a lowering at long ones, with respect to the ordered case. The asymptotic expression for the diffusion equation on hyperbolic cellular systems relates random walk on curved lattices to hyperbolic Brownian motion.
Cite
@article{arxiv.cond-mat/9612062,
title = {Random walk on disordered networks},
author = {Tomaso Aste},
journal= {arXiv preprint arXiv:cond-mat/9612062},
year = {2009}
}
Comments
10 Pages, 3 Postscript figures