Multicomponent reaction-diffusion processes on complex networks.
We study the reaction-diffusion process A+B--> Ø 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, pairwise 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.
Weber
Sebastian
S
Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstrasse 8, 64289 Darmstadt, Germany.
Porto
Markus
M