Abstract
In the diffusion-limited reaction process A + B → ∅ on random scale-free networks, particle density decays as ρ(t) ~t − α when ρ A (0) = ρ B (0), where α> 1 for the degree exponent 2 < γ< 3 and α= 1 for γ ≤ 3. We investigate the reaction on fractal scale-free networks numerically, finding ρ(t) decays slowly with the exponent α ≈ d s / 4 < 1, where d s is the spectral dimension of the network.
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Yun, CK., Kahng, B., Kim, D. (2009). Slowdown in the Annihilation of Two Species Diffusion-Limited Reaction on Fractal Scale-Free Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_77
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DOI: https://doi.org/10.1007/978-3-642-02466-5_77
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