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Kim","submitted_at":"2008-11-14T09:29:45Z","abstract_excerpt":"In the reaction-diffusion process $A+B \\to \\varnothing$ on random scale-free (SF) networks with the degree exponent $\\gamma$, the particle density decays with time in a power law with an exponent $\\alpha$ when initial densities of each species are the same. The exponent $\\alpha$ is $\\alpha > 1$ for $2 < \\gamma < 3$ and $\\alpha=1$ for $\\gamma \\ge 3$. Here, we examine the reaction process on fractal SF networks, finding that $\\alpha < 1$ even for $2 < \\gamma < 3$. 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