Diffusion Processes on Power-Law Small-World Networks

Details Diffusion Processes on Power-Law Small-World Networks Diffusion Processes on Power-Law Small-World Networks

2005-01-20

arxiv.org/abs/cond-mat/0501509v2

Phys. Rev. Lett. 95, 018701 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, added references, modified Fig. 2 with added data (PRL, in press)

Scientific paper

10.1103/PhysRevLett.95.018701

We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a critical line with continuously varying exponents. The results were obtained using self-consistent perturbation theory and can also be understood in terms of a scaling theory, which provides a general framework for understanding processes on small-world networks with different distributions of long-range links.

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