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Fermi--Dirac Statistics of Complex Networks |
SHEN Yi;ZHU Di-Ling;LIU Wei-Ming |
Department of Physics, Tsinghua University, Beijing 100084 |
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Cite this article: |
SHEN Yi, ZHU Di-Ling, LIU Wei-Ming 2005 Chin. Phys. Lett. 22 1281-1284 |
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Abstract We investigate phenomena of decline of complex networks by employing and analysing an illness model. Its intrinsic relation with the Fermi distribution is shown and a mapping to Fermi gas is established. The results of numerical simulations are obtained in two ways. We also compare the model with other models, including the dual relationship with the fitness model, and its difference from the Cayley tree model.
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Keywords:
89.75.-k
89.75.Hc
05.90.+m
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Published: 01 May 2005
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PACS: |
89.75.-k
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(Complex systems)
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89.75.Hc
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(Networks and genealogical trees)
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05.90.+m
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(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
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