Random walk on disordered networks

Details Random walk on disordered networks Random walk on disordered networks

1996-12-06

arxiv.org/abs/cond-mat/9612062v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 Pages, 3 Postscript figures

Scientific paper

10.1103/PhysRevE.55.6233

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.

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