Characteristics of reaction-diffusion on scale-free networks

Lazaros K. Gallos, Panos Argyrakis

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7 Scopus citations

Abstract

We examine some characteristic properties of reaction-diffusion processes of the A+A→0 type on scale-free networks. Due to the inhomogeneity of the structure of the substrate, as compared to usual lattices, we focus on the characteristics of the nodes where the annihilations occur. We show that at early times the majority of these events take place on low-connectivity nodes, while as time advances the process moves towards the high-connectivity nodes, the so-called hubs. This pattern remarkably accelerates the annihilation of the particles, and it is in agreement with earlier predictions that the rates of reaction-diffusion processes on scale-free networks are much faster than the equivalent ones on lattice systems.

Original languageEnglish (US)
Article number056107
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number5
DOIs
StatePublished - 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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