Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-09-07
stacks.iop.org/JSTAT/2011/P10001
Physics
Condensed Matter
Disordered Systems and Neural Networks
15 pages, 10 figures
Scientific paper
10.1088/1742-5468/2011/10/P10001
The studies based on $A+A \rightarrow \emptyset$ and $A+B\rightarrow \emptyset$ diffusion-annihilation processes have so far been studied on weighted uncorrelated scale-free networks and fractal scale-free networks. In the previous reports, it is 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 identical degree sequence. We find that the depletion zone and segregation are essentially caused by the 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 both the weight and degree distribution don't suffice to characterize the diffusion-annihilation processes on weighted scale-free networks.
Guan Jihong
Zhang Yichao
Zhang Zhongzhi
Zhou Shi
Zhou Shuigeng
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