1Department of Electronic Engineering, School of Information Science and Technology, East China Normal University, Shanghai 2000622Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800
Fluctuation of the Download Network
HAN Ding-Ding1;LIU Jin-Gao1; MA Yu-Gang2
1Department of Electronic Engineering, School of Information Science and Technology, East China Normal University, Shanghai 2000622Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800
摘要The scaling behaviour of fluctuation for a download network we investigated a few years ago based upon Zhang's Econophysics web page is presented. A power law scaling, namely σ~ <f> α exists between the dispersion σ and average flux <f> of the download rates. The fluctuation exponent α is neither 1/2 nor 1, which were claimed as two universal fluctuation classes in previous publication, while it varies from 1/2 to 1 with the time window in which the download data are accumulated. The crossover behaviour of fluctuation exponents can be qualitatively understood by the external driving fluctuation model for a small-size system or a network traffic model which suggests congestion as the origin.
Abstract：The scaling behaviour of fluctuation for a download network we investigated a few years ago based upon Zhang's Econophysics web page is presented. A power law scaling, namely σ~ <f> α exists between the dispersion σ and average flux <f> of the download rates. The fluctuation exponent α is neither 1/2 nor 1, which were claimed as two universal fluctuation classes in previous publication, while it varies from 1/2 to 1 with the time window in which the download data are accumulated. The crossover behaviour of fluctuation exponents can be qualitatively understood by the external driving fluctuation model for a small-size system or a network traffic model which suggests congestion as the origin.
HAN Ding-Ding;LIU Jin-Gao; MA Yu-Gang. Fluctuation of the Download Network[J]. 中国物理快报, 2008, 25(2): 765-768.
HAN Ding-Ding, LIU Jin-Gao, MA Yu-Gang. Fluctuation of the Download Network. Chin. Phys. Lett., 2008, 25(2): 765-768.
[1] Albert R, Barab\'asi A-L 2002 Rev. Mod. Phys. 74 47 [2] Dorogovtsev S N and Mendes J F 2002 Adv. Phys. 51 1079 [3] Botet R et al 2001 Phys. Rev. Lett. 86 3514 [4] Ma Y G 2001 J. Phys. G 27 2455 Ma Y G et al 2004 Phys. Rev. C 69 031604(R) Ma Y G et al 2005 Phys. Rev. C 71 054606 Ma Y G et al 2005 J. Phys. G 31 S1179 Ma G L et al 2003 Chin. Phys. Lett. 20 1013 [5] Gulminelli F et al 2006 Eur. Phys. J. A 30 253 Gulminelli F and D Agostino M 2006 Dynamics andThermodynamics with Nuclear Degree of Freedom ed Chomaz P,Gulminell F, Trautmann W and Yennello S J (Berlin: Springer) chap5(6) [6] Algollo de Menezes M and Barab\'asi A L 2004 Phys.Rev. Lett. 92 028701 Algollo de Menezes M and Barab\'asi A L 2004 Phys. Rev.Lett. 93 068701 [7] Duch J and Arenas A 2006 Phys. Rev. Lett. 96218702 [8] Han D D et al 2004 Chin. Phys. Lett. 21 1855 [9] Zipf G K 1949 Human behavior and the Principle ofLeast Effort (Cambridge: Addison-Wesley) [10] Ma Y G 1999 Phys. Rev. Lett. 83 3617 Ma Y G 2000 Chin. Phys. Lett. 17 340 Ma Y G 2006 Eur. Phys. J. A 30 227 Ma Y G 2006 Dynamics and Thermodynamics with NuclearDegree of Freedom ed Gulminell F, Trautmann W and Yennello S J(Berlin: Springer) chap 5(4) [11] Tsallis C et al 2000 Eur. Phys. J. B 13 777 [12] http://www.unifr.ch/econophysics/ [13] Erdos P and Renyi A 1960 Publ. Math. Inst. Hung.Acad. Sci. 5 17 [14] Eisler Z, Bartos I and Kert\'esz 2007 arXiv:0708.2053
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