Fermi--Dirac Statistics of Complex Networks
SHEN Yi, ZHU Di-Ling, LIU Wei-Ming
Department of Physics, Tsinghua University, Beijing 100084
Fermi--Dirac Statistics of Complex Networks
SHEN Yi;ZHU Di-Ling;LIU Wei-Ming
Department of Physics, Tsinghua University, Beijing 100084
关键词 :
89.75.-k ,
89.75.Hc ,
05.90.+m
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.
Key words :
89.75.-k
89.75.Hc
05.90.+m
出版日期: 2005-05-01
:
89.75.-k
(Complex systems)
89.75.Hc
(Networks and genealogical trees)
05.90.+m
(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
[1]
FANG Jin-Qing;BI Qiao;LI Yong;LU Xin-Biao;LIU Qiang. Sensitivity of Exponents of Three-Power Laws to Hybrid Ratio in Weighted HUHPM [J]. 中国物理快报, 2007, 24(1): 279-282.
[2]
ZHANG Jian-Guo;YAN Jia-Ren;LIU Zi-Ran;WANG Li. Evolution of Weighted Networks by Duplication--Divergence Mechanism [J]. 中国物理快报, 2006, 23(8): 2330-2333.
[3]
YANG Wei-Song;LI Ping;ZOU Shan-Shan;WANG Bing-Hong. Local Minority Game with Evolutionary Strategies [J]. 中国物理快报, 2006, 23(8): 1961-1964.
[4]
ZHOU Tao;LIU Jian-Guo;WANG Bing-Hong. Notes on the Algorithm for Calculating Betweenness [J]. 中国物理快报, 2006, 23(8): 2327-2329.
[5]
ZHAO Hui;GAO Zi-You. Local Events and Dynamics on Weighted Complex Networks [J]. 中国物理快报, 2006, 23(8): 2311-2314.
[6]
SUN Hui-Jun;WU Jian-Jun;. Complex Behaviour for the Origin and Destination Matrix Estimation Problem [J]. 中国物理快报, 2006, 23(8): 2323-2326.
[7]
Venkatesh Rajagopalan;Asok Ray. Wavelet Space Partitioning for Symbolic Time Series Analysis [J]. 中国物理快报, 2006, 23(7): 1951-1954.
[8]
BI Qiao;FANG Jin-Qing;ZOU Qin. Certain Properties of a Quantum Information Network Driven by External Fields [J]. 中国物理快报, 2006, 23(7): 1947-1950.
[9]
GUAN Jian-Yue; XU Xin-Jian;WU Zhi-Xi;WANG Ying-Hai. Synchronization of Coupled Oscillators on Newman--Watts Small-World Networks [J]. 中国物理快报, 2006, 23(6): 1410-1413.
[10]
DUAN Wen-Qi;CHEN Zhong;LIU Zeng-Rong. Epidemic Spreading in Contact Networks Based on Exposure Level [J]. 中国物理快报, 2006, 23(5): 1347-1350.
[11]
WU Xiang;WANG Bing-Hong;ZHOU Tao;WANG Wen-Xu;ZHAO Ming;YANG Hui-Jie. Synchronizability of Highly Clustered Scale-Free Networks [J]. 中国物理快报, 2006, 23(4): 1046-1049.
[12]
ZHANG Huan;LIU Zong-Hua;MA Wei-Chuan. Epidemic Propagation and Microscopic Structure of Complex Networks [J]. 中国物理快报, 2006, 23(4): 1050-1053.
[13]
LIU Jian-Guo;DANG Yan-Zhong;WANG Zhong-Tuo. Multistage Random Growing Small-World Networks with Power-Law Degree Distribution [J]. 中国物理快报, 2006, 23(3): 746-749.
[14]
XU Xin-Ping;LIU Feng;LI Wei. Growing Small-World Networks Based on a Modified BA Model [J]. 中国物理快报, 2006, 23(3): 750-753.
[15]
FU Bai-Bai;GAO Zi-You. An Estimation for the Power-Law Distribution Parameter Based on Entropy [J]. 中国物理快报, 2006, 23(2): 520-522.