An $ε$-expansion for Small-World Networks

Details An $ε$-expansion for Small-World Networks An $ε$-expansion for Small-World Networks

2004-07-15

arxiv.org/abs/cond-mat/0407374v1

Eur. Phys. Jour. B 42, 297 (2004).

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages Europhysics style, 3 figures

Scientific paper

10.1140/epjb/e2004-00383-6

I construct a well-defined expansion in $\epsilon=2-d$ for diffusion processes on small-world networks. The technique permits one to calculate the average over disorder of moments of the Green's function, and is used to calculate the average Green's function and fluctuations to first non-leading order in $\epsilon$, giving results which agree with numerics. This technique is also applicable to other problems of diffusion in random media.

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