Scaling Breakdown in Flow Fluctuations on Complex Networks

Sandro Meloni, Jesús Gómez-Gardeñes, Vito Latora, Yamir Moreno
2008 Physical Review Letters  
We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of three factors, respectively of dynamical, topological and statistical nature. In particular, we demonstrate that the existence of a power-law scaling characterizing the flow fluctuations at every node in the network can not be claimed for. We show the validity
more » ... f this scaling breakdown under quite general topological and dynamical situations by means of different traffic algorithms and by analyzing real data.
doi:10.1103/physrevlett.100.208701 pmid:18518584 fatcat:hmv5uxv4a5dcfmwqzp6lcfhpqu