Scaling breakdown in flow fluctuations on complex networks

Details Scaling breakdown in flow fluctuations on complex networks Scaling breakdown in flow fluctuations on complex networks

2008-03-06

arxiv.org/abs/0803.0930v2

Physical Review Letters 100, 208701 (2008)

Physics

Physics and Society

Final version appeared in PRL. Minor changes with respect to the previous version

Scientific paper

10.1103/PhysRevLett.100.208701

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 of this scaling breakdown under quite general topological and dynamical situations by means of different traffic algorithms and by analyzing real data.

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