2010/09/30 by Yichao Zhang, Jihong Guan, Zhongzhi Zhang +2
Chemistry · Mathematics · Physics and Astronomy · #Annihilation #Chemistry #Combinatorics #Complex Network Analysis Techniques #Complex network #Degree (music) #Degree distribution #Diffusion #Fractal #Geometry #Graph theory and applications #Mathematical analysis #Mathematics #Physics #Scale (ratio) #Scale-free network #Scaling #Sequence (biology) #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #Uncorrelated #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2011/10/p10001
published as stacks.iop.org/JSTAT/2011/P10001 · 15 pages, 10 figures
arxiv created 2011/06/11 · openalex publication_date 2011/10/05 · arxiv updated 2011/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
and 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.