Multicomponent reaction-diffusion processes on complex networks

Details Multicomponent reaction-diffusion processes on complex networks Multicomponent reaction-diffusion processes on complex networks

2006-08-17

arxiv.org/abs/cond-mat/0608383v1

Phys. Rev. E 74, 046108 (2006)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevE.74.046108

We study the reaction-diffusion process $A + B \to \emptyset$ on uncorrelated scale-free networks analytically. By a mean-field ansatz we derive analytical expressions for the particle pair-correlations and the particle density. Expressing the time evolution of the particle density in terms of the instantaneous particle pair-correlations, we determine analytically the `jamming' effect which arises in the case of multicomponent, pair-wise reactions. Comparing the relevant terms within the differential equation for the particle density, we find that the `jamming' effect diminishes in the long-time, low-density limit. This even holds true for the hubs of the network, despite that the hubs dynamically attract the particles.

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