Erik M Bollt and Daniel ben-Avraham 2005 New J. Phys. 7 26 doi:10.1088/1367-2630/7/1/026
What is special about diffusion on scale-free nets?
Focus on Brownian Motion and Diffusion in the 21st CenturyErik M Bollt1,2 and Daniel ben-Avraham2,3
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We study diffusion (random walks) on recursive scale-free graphs and contrast the results to similar studies in other analytically soluble media. This allows us to identify ways in which diffusion in scale-free graphs is special. Most notably, scale-free architecture results in a faster transit time between existing nodes when the network grows in size; and walks emanating from the most connected nodes are recurrent, despite the network's infinite dimension. We also find that other attributes of the graph, besides its scale-free distribution, have a strong influence on the nature of diffusion.
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Issue 1 (January 2005)
Received 1 October 2004
Published 31 January 2005
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What is special about diffusion on scale-free nets?
Erik M Bollt and Daniel ben-Avraham 2005 New J. Phys. 7 26
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