Entropy Rate of Diffusion Processes on Complex Networks

Details Entropy Rate of Diffusion Processes on Complex Networks Entropy Rate of Diffusion Processes on Complex Networks

2007-12-03

arxiv.org/abs/0712.0278v1

Physics

Condensed Matter

Statistical Mechanics

4 pages (APS format), 3 figures, 1 table

Scientific paper

10.1103/PhysRevE.78.065102

The concept of entropy rate for a dynamical process on a graph is introduced. We study diffusion processes where the node degrees are used as a local information by the random walkers. We describe analitically and numerically how the degree heterogeneity and correlations affect the diffusion entropy rate. In addition, the entropy rate is used to characterize complex networks from the real world. Our results point out how to design optimal diffusion processes that maximize the entropy for a given network structure, providing a new theoretical tool with applications to social, technological and communication networks.

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