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Condensation On Weighted Networks With Symmetric Weights

Author

Listed:
  • MING TANG

    (Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai, 200062, China)

  • ZONGHUA LIU

    (Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai, 200062, China)

  • XIAOYAN ZHU

    (Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai, 200062, China)

  • XIAOYAN WU

    (Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai, 200062, China)

Abstract

It is recently shown that the weight-directed network may seriously influence the particle condensation on it, where the weights on an edge are asymmetric. However, most of the realistic networks are weight-undirected networks where the weights on an edge aresymmetric. For understanding how the structure of these networks influences the particle evolution, we study the condensation phenomenon on a model of weighted networks with symmetric weights by both theoretical analysis and numerical simulations. In theory, we have proposed a mean field approach to discuss the condensation for the zero range process on weight-undirected networks. We have shown that there is a critical$\delta_c^w$and the condensation will occur on the weighted-undirected network for$\delta

Suggested Citation

  • Ming Tang & Zonghua Liu & Xiaoyan Zhu & Xiaoyan Wu, 2008. "Condensation On Weighted Networks With Symmetric Weights," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 927-937.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:06:n:s0129183108012601
    DOI: 10.1142/S0129183108012601
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