Reaction-Diffusion Processes on Interconnected Scale-Free Networks

Abstract

We study the two particle annihilation reaction $A+B\to \varnothing$ on interconnected scale free networks, using different interconnecting strategies. We explore how the mixing of particles and the process evolution are influenced by the number of interconnecting links, by their functional properties, and by the interconnectivity strategies in use. We show that the reaction rates on this system are faster than what was observed in other topologies, due to the better particle mixing which suppresses the segregation effect, inline with previous studies performed on single scale free networks.

11 pages, 5 figures

References in corpus (7)

• Diffusion dynamics on multiplex networks
• Emergence of network features from multiplexity
• Abrupt transition in the structural formation of interconnected networks
• Optimal interdependence between networks for the evolution of cooperation
• Synchronization of interconnected networks: the role of connector nodes
• Multicomponent reaction-diffusion processes on complex networks
• Characteristics of reaction-diffusion on scale-free networks

Cited by in corpus (3)

• Value of peripheral nodes in controlling multilayer networks
• An ensemble perspective on multi-layer networks
• Spontaneous repulsion in the $A+B\to 0$ reaction on coupled networks