Abstract
In this chapter we provide a review of the main results recently obtained in the modeling of binary fermionic reaction-diffusion processes on scale-free networks. We show how to derive rate equations within the heterogeneous mean-field formalism, and how information can be obtained from them both for finite networks in the diffusion-limited regime and in the infinite network size lime. By means of extensive numerical simulations, we check the mean field predictions and explore other aspects of the reaction-diffusion dynamics, such as density correlations and the effects of the minimum degree or a tree-like topology.
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Catanzaro, M., Boguñá, M., Pastor-Satorras, R. (2008). Reaction-diffusion Processes in Scale-free Networks. In: Bollobás, B., Kozma, R., Miklós, D. (eds) Handbook of Large-Scale Random Networks. Bolyai Society Mathematical Studies, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69395-6_5
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