An analytic effective medium theory is constructed to study the mean access times for random walks on hybrid disordered structures formed by embedding complex networks into regular lattices, considering transition rates F that are different for steps across lattice bonds from the rates f across network shortcuts. The theory is developed for structures with arbitrary shortcut distributions and applied to a class of partially disordered traversal enhanced networks in which shortcuts of fixed length are distributed randomly with finite probability. Numerical simulations are found to be in excellent agreement with predictions of the effective medium theory on all aspects addressed by the latter. Access times for random walks on these partially disordered structures are compared to those on small-world networks, which on average appear to provide the most effective means of decreasing access times uniformly across the network.
J. Candia et al., "Random-Walk Access Times on Partially Disordered Complex Networks: An Effective Medium Theory," Physical Review E, American Physical Society (APS), Jun 2008.
The definitive version is available at http://dx.doi.org/10.1103/PhysRevE.77.061113
National Science Foundation (U.S.)
Keywords and Phrases
Complex Networks; Random Processes; Numerical analysis
Article - Journal
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