Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

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

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_77,
        author={Chang-Keun Yun and Byungnam Kahng and Doochul Kim},
        title={Slowdown in the Annihilation of Two Species Diffusion-Limited Reaction on Fractal Scale-Free Networks},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={diffusion-limited reaction fractal scale-free network segregation},
        doi={10.1007/978-3-642-02466-5_77}
    }
    
  • Chang-Keun Yun
    Byungnam Kahng
    Doochul Kim
    Year: 2012
    Slowdown in the Annihilation of Two Species Diffusion-Limited Reaction on Fractal Scale-Free Networks
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_77
Chang-Keun Yun1, Byungnam Kahng1,*, Doochul Kim1
  • 1: Seoul National University
*Contact email: bkahng@snu.ac.kr

Abstract

In the diffusion-limited reaction process  +  → ∅ on random scale-free networks, particle density decays as () ~ when (0) =  (0), where > 1 for the degree exponent 2 < < 3 and = 1 for  ≤ 3. We investigate the reaction on fractal scale-free networks numerically, finding () decays slowly with the exponent  ≈  / 4 < 1, where is the spectral dimension of the network.