Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Nov;74(5):056107. doi: 10.1103/PhysRevE.74.056107. Epub 2006 Nov 10.

Characteristics of reaction-diffusion on scale-free networks.

Physical review. E, Statistical, nonlinear, and soft matter physics

Lazaros K Gallos, Panos Argyrakis

PMID: 17279968 DOI: 10.1103/PhysRevE.74.056107

Abstract

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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• Journal Article