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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 |
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| Cite this article: |
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HAN Ding-Ding, LIU Jin-Gao, MA Yu-Gang 2008 Chin. Phys. Lett. 25 765-768 |
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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.
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| Keywords:
89.75.Hc
89.75.Da
89.40.Dd
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Received: 13 August 2007
Published: 30 January 2008
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[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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