Multicomponent reaction-diffusion processes on complex networks

Abstract

We study the reaction-diffusion process $A+B\to \varnothing$ 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.

8 pages, 6 figures

References in corpus (5)

• Generation of uncorrelated random scale-free networks
• Diffusion-annihilation processes in complex networks
• Absence of kinetic effects in reaction-diffusion processes in scale-free networks
• Reaction-diffusion processes on correlated and uncorrelated scale-free networks
• Systematic Series Expansions for Processes on Networks

Cited by in corpus (6)

• Generation of arbitrarily two-point correlated random networks
• Bosonic reaction-diffusion processes on scale-free networks
• Segregation in the annihilation of two-species reaction-diffusion processes on fractal scale-free networks
• Spontaneous repulsion in the $A+B\to 0$ reaction on coupled networks
• Reaction-Diffusion Processes on Interconnected Scale-Free Networks
• Simple reaction-diffusion population model on scale-free networks