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Effects of average degree of network on an order-disorder transition in opinion dynamics |
Feng Cun-Fang(冯存芳)a)b), Guan Jian-Yue(关剑月) a), Wu Zhi-Xi(吴枝喜)c), and Wang Ying-Hai(汪映海) a)† |
a Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; b College of Science, Wuhan University of Science and Engineering, Wuhan 430073, China; c Department of Physics, Ume?, University, 90187 Ume?, Sweden |
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Abstract We have investigated the influence of the average degree $\langle k \rangle$ of network on the location of an order--disorder transition in opinion dynamics. For this purpose, a variant of majority rule (VMR) model is applied to Watts--Strogatz (WS) small-world networks and Barabási--Albert (BA) scale-free networks which may describe some non-trivial properties of social systems. Using Monte Carlo simulations, we find that the order--disorder transition point of the VMR model is greatly affected by the average degree $\langle k \rangle$ of the networks; a larger value of $\langle k \rangle$ results in a more ordered state of the system. Comparing WS networks with BA networks, we find WS networks have better orderliness than BA networks when the average degree $\langle k \rangle$ is small. With the increase of $\langle k \rangle$, BA networks have a more ordered state. By implementing finite-size scaling analysis, we also obtain critical exponents $\beta/\nu$, $\gamma/\nu$ and $1/\nu$ for several values of average degree $\langle k \rangle$. Our results may be helpful to understand structural effects on order--disorder phase transition in the context of the majority rule model.
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Received: 19 September 2009
Accepted manuscript online:
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PACS:
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05.70.Fh
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(Phase transitions: general studies)
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05.70.Jk
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(Critical point phenomena)
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02.50.Ng
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(Distribution theory and Monte Carlo studies)
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02.30.Oz
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(Bifurcation theory)
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Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~10775060). |
Cite this article:
Feng Cun-Fang(冯存芳), Guan Jian-Yue(关剑月), Wu Zhi-Xi(吴枝喜), and Wang Ying-Hai(汪映海) Effects of average degree of network on an order-disorder transition in opinion dynamics 2010 Chin. Phys. B 19 060203
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[1] |
Galam S 1999 Physica A 274 132
|
[2] |
Sznajd-Weron K and Sznajd J 2000 Int. J. Mod. Phys. C 11 1157
|
[3] |
Liu M X and Ruan J 2009 Chin. Phys. B 18 2115
|
[4] |
Galam S 2003 Physica A 320 571
|
[5] |
Watts D J 2002 Proc. Nat. Acad. Sci. USA 99 5766
|
[6] |
Boguná M, Pastor-Satorras R and Vespignani A 2003 Phys. Rev. Lett. 90 028701
|
[7] |
Chen Z Q, Pei W D and Yuan Z Z 2008 Chin. Phys. B 17 373
|
[8] |
Dall' Asta L, Baronchelli A, Barrat A and Loreto V 2006 Europhys. Lett. 73 969
|
[9] |
Krapivsky P L and Redner S 2003 Phys. Rev. Lett. 90 238701
|
[10] |
Mobilia M and Redner S 2003 Phys. Rev. E 68 046106
|
[11] |
Helbing D, Farkas I and Vicsek T 2000 Nature (London) 407 487
|
[12] |
Galam S 2002 Eur. Phys. J. B 25 403
|
[13] |
Frachebourg L and Krapivsky P L 1996 Phys. Rev. E 53 R3009
|
[14] |
Lambiotte R 2007 Europhys. Lett. 78 68002
|
[15] |
Lambiotte R and Ausloos M 2007 J. Stat. Mech. 8 08026
|
[16] |
Guan J Y, Wu Z X and Wang Y H 2007 Phys. Rev. E 76 042102
|
[17] |
Campos P R, Oliveira V M and Moreira F G B 2003 Phys. Rev. E 67 026104
|
[18] |
Lima F W S, Fulco U L and Costa Filho R N 2005 Phys. Rev. E 71 036105
|
[19] |
Pereira L F C and Brady Moreira F G 2005 Phys. Rev. E 71 016123
|
[20] |
Lima F W S arxiv:physics/0511082v1
|
[21] |
Lima F W S arxiv:cond-mat/0607582v1
|
[22] |
Barabá si A L and Albert R 1999 Science 286 509
|
[23] |
Feng W W 2009 Acta Phys. Sin. 58 2127 (in Chinese)
|
[24] |
Liu M X and Ruan J 2009 Chin. Phys. B 18 5111
|
[25] |
Girvan M and Newman M E J 2002 Proc. Nat. Acad. Sci. USA 99 7821
|
[26] |
Feng C F, Xu X J, Wu Z X and Wang Y H 2008 Chin. Phys. B 17 1951
|
[27] |
Watts D J and Strogatz S H 1998 Nature 393 440
|
[28] |
Binder K 1981 Z. Phys. B 43 119
|
[29] |
Oliveira M J de 1992 J. Stat. Phys. 66 273
|
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