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

Chang-Keun Yun; Byungnam Kahng; Doochul Kim

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.

Keywords: diffusion-limited reaction fractal scale-free network segregation

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_77