CONDENSATION ON WEIGHTED NETWORKS WITH SYMMETRIC WEIGHTS

Ming Tang, Zonghua Liu, Xiaoyan Zhu and Xiaoyan Wu
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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

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 06, 927-937

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

Keywords: Weight-undirected network; zero range process; mass condensation; strength distribution; 89.75.Hc; 05.20.-y; 05.70.Fh (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012601

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