Reaction-diffusion processes on correlated and uncorrelated scale-free networks

Details Reaction-diffusion processes on correlated and uncorrelated scale-free networks Reaction-diffusion processes on correlated and uncorrelated scale-free networks

2005-03-10

arxiv.org/abs/cond-mat/0503234v1

Phys. Rev. E 72, 017101 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.72.017101

We compare reaction-diffusion processes of the $A+A\to 0$ type on scale-free networks created with either the configuration model or the uncorrelated configuration model. We show via simulations that except for the difference in the behavior of the two models, different results are observed within the same model when the minimum number of connections for a node varies from $k_{\rm min}=1$ to $k_{\rm min}=2$. This difference is attributed to the varying local properties of the two systems. In all cases we are able to identify a power law behavior of the density decay with time with an exponent $f>1$, considerably larger than its lattice counterpart.

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