Relaxation Properties of Small-World Networks

Details Relaxation Properties of Small-World Networks Relaxation Properties of Small-World Networks

2000-04-13

arxiv.org/abs/cond-mat/0004214v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 6 figures

Scientific paper

10.1103/PhysRevE.62.4405

Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. In this work we study diffusion processes defined on such structures by considering explicitly the probability for a random walker to be present at the origin. The results are intermediate between the corresponding ones for fractals and for Cayley trees.

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