Characteristics of reaction-diffusion on scale-free networks

Details Characteristics of reaction-diffusion on scale-free networks Characteristics of reaction-diffusion on scale-free networks

2006-11-22

arxiv.org/abs/cond-mat/0611591v1

Phys. Rev. E 74, 056107 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.74.056107

We examine some characteristic properties of reaction-diffusion processes of the A+A->0 type on scale-free networks. Due to the inhomogeneity of the structure of the substrate, as compared to usual lattices, we focus on the characteristics of the nodes where the annihilations occur. We show that at early times the majority of these events take place on low-connectivity nodes, while as time advances the process moves towards the high-connectivity nodes, the so-called hubs. This pattern remarkably accelerates the annihilation of the particles, and it is in agreement with earlier predictions that the rates of reaction-diffusion processes on scale-free networks are much faster than the equivalent ones on lattice systems.

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