Reaction-Diffusion Processes on Interconnected Scale-Free Networks

TL;DR

This paper investigates how interconnected scale-free networks influence reaction-diffusion processes, revealing faster reaction rates due to improved particle mixing compared to other topologies.

Contribution

It introduces analysis of reaction-diffusion dynamics on interconnected scale-free networks with various interconnection strategies, highlighting their impact on reaction rates.

Findings

Reaction rates are faster on interconnected scale-free networks.

Interconnection strategies significantly influence particle mixing.

Enhanced mixing suppresses segregation effects.

Abstract

We study the two particle annihilation reaction $A+B\rightarrow \emptyset$ 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.