Slowdown in the Annihilation of Two Species Diffusion-Limited Reaction on Fractal Scale-Free Networks

Abstract

In the diffusion-limited reaction process A+B → ∅ on random scale-free networks, particle density decays as ρ(t) ∼ t−α when ρA(0) = ρB(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 ≈ ds/4 < 1, where ds is the… (More)
DOI: 10.1007/978-3-642-02466-5_77

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