4.6 Article

Diffusion-annihilation processes in weighted scale-free networks with an identical degree sequence

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/10/P10001

Keywords

disordered systems (theory); network dynamics

Funding

  1. National Natural Science Foundation of China (NSFC) [60873040, 60873070, 61074119]
  2. Shanghai Municipal Education Commission
  3. Shanghai Education Development Foundation

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A+A -> empty set and A+B -> empty set diffusion-annihilation processes have so far been studied on weighted uncorrelated scale-free networks and fractal scale-free networks. In the previous reports it was widely accepted that the segregation of particles in the processes is introduced by the fractal structure. In this paper we study these processes on a family of weighted scale-free networks with an identical degree sequence. We find that the depletion zone and segregation are essentially caused by disassortative mixing, namely, high-degree nodes tend to connect with low-degree nodes. Their influence on the processes is governed by the correlation between the weight and degree. Our finding suggests that the weight and degree distribution do not suffice to characterize the diffusion-annihilation processes on weighted scale-free networks.

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