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A dissipative network model with neighboring activation

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  • Statistical and Nonlinear Physics
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Abstract

We propose a network model with dissipative structure taking into consideration the effect of neighboring activation and individual dissipation. Nodes may feel tired of interactions with new nodes step by step, and drop out of the network evolution. However, these dormant nodes can become active again following neighbors. During the whole evolution only active nodes have opportunities to receive new links. We analyze user behavior of a real Internet forum, and the statistical characteristics of this forum are analogous to our model. Under the influence of motivation and dissipation, the degree distribution of our network model decays as a power law with a diversity of tunable power exponents. Furthermore, the network has high clustering, small average path length and positive assortativity coefficients.

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Authors and Affiliations

  1. Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education, Beijing Jiaotong University, Beijing, 100044, P.R. China

    Fei Xiong, Yun Liu, Zhen Jiang Zhang & Yan Chao Zhang

  2. Carnegie Mellon University, Silicon Valley, Moffett Field, CA, 94035, USA

    Jiang Zhu & Ying Zhang

Authors
  1. Fei Xiong
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  2. Yun Liu
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  3. Jiang Zhu
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  4. Zhen Jiang Zhang
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  5. Yan Chao Zhang
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  6. Ying Zhang
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Correspondence to Fei Xiong.

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Xiong, F., Liu, Y., Zhu, J. et al. A dissipative network model with neighboring activation. Eur. Phys. J. B 84, 115–120 (2011). https://doi.org/10.1140/epjb/e2011-20286-7

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  • DOI: https://doi.org/10.1140/epjb/e2011-20286-7

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