Ising model on evolution networks and its application on opinion formation

doi:10.1088/1674-1056/23/6/068701

Abstract Many phenomena show that in a favorable circumstance an agent still has an updating possibility, and in an unfavorable circumstance an agent also has a possibility of holding its own state and reselecting its neighbors. To describe this kind of phenomena an Ising model on evolution networks was presented and used for consensus formation and separation of opinion groups in human population. In this model the state-holding probability p and selection-rewiring probability q were introduced. The influence of this mixed dynamics of spin flips and network rewiring on the ordering behavior of the model was investigated. p hinders ordering of opinion networks and q accelerates the dynamical process of networks. Influence of q on the ordering and separating stems from its effect on average path length of networks.

Keywords: opinion formation Ising model evolution networks

Received: 09 October 2013
Revised: 28 November 2013
Accepted manuscript online:

PACS:	87.23.Ge	(Dynamics of social systems)
	89.75.-k	(Complex systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11304123) and the Scientific Research Foundation of Jianghan University (Grant No. 2010014).

Corresponding Authors: Sang Jian-Ping
E-mail: jpsang@acc-lab.whu.edu.cn

Cite this article:

Zhu Xiao-Long (朱小龙), Zhang Hai-Tian (张海天), Sang Jian-Ping (桑建平), Huang Sheng-You (黄胜友), Zou Xian-Wu (邹宪武) Ising model on evolution networks and its application on opinion formation 2014 Chin. Phys. B 23 068701

[1]	Krapivsky P L 1992 Phys. Rev. A 45 1067
[2]	Axelrod R 1997 J. Conflict Resolut. 41 203
[3]	Deffuant G, Neau D, Amblard F and Weisbuch G 2000 Adv. Complex Syst. 3 87
[4]	Sznajd-Weron K and Sznajd J 2000 Int. J. Mod. Phys. C 11 1157
[5]	Sun W and Dou L H 2010 Chin. Phys. B 19 120513
[6]	Hegselmann R and Krause U 2002 Journal of Artificial Societies and Social Simulation 5 2
[7]	Ding F, Liu Y, Shen B and Si X M 2010 Physica A 389 1745
[8]	Guo Q, Liu J G, Wang B H, Zhou T, Chen X W and Yao Y H 2008 Chin. Phys. Lett. 25 773
[9]	Duan W Q, Chen Z and Liu Z R 2005 Chin. Phys. Lett. 22 2137
[10]	Castellano C, Fortunato S and Loreto V 2009 Rev. Mod. Phys. 81 591
[11]	Cheng J, Zhang J W and Di Z R 2010 Physics 39 101 (in Chinese)
[12]	Newman M 2008 Phys. Today 11 33
[13]	Pękalski A 2001 Phys. Rev. E 64 057104
[14]	Herrero C P 2002 Phys. Rev. E 65 066110
[15]	Jeong D, Hong H, Kim B J and Choi M Y 2003 Phys. Rev. E 68 027101
[16]	Chang Y, Sun L and Cai X 2007 Phys. Rev. E 76 021101
[17]	Chatterjee A and Sen P 2006 Phys. Rev. E 74 036109
[18]	Barrat A and Weigt M 2000 Eur. Phys. J. B 13 547
[19]	Gitterman M 2000 J. Phys. A: Math. Gen. 33 8373
[20]	Dorogovtsev S N, Goltsev A V and Mendes J F F 2002 Phys. Rev. E 66 016104
[21]	Aleksiejuk A, Holyst J A and Stauffer D 2002 Physica A 310 260
[22]	Zhou W X and Sornette D 2007 Eur. Phys. J. B 55 175
[23]	Zaklan G, Westerhoff F and Stauffer D 2009 J. Econ. Interact. Coordination 4 1
[24]	Svenson P and Johnston D A 2002 Phys. Rev. E 65 036105
[25]	Hong H, Kim B J and Choi M Y 2002 Phys. Rev. E 66 011107
[26]	Grabowskia A and Kosińskia R A 2006 Physica A 361 651
[27]	Dasgupta S, Pan R K and Sinha S 2009 Phys. Rev. E 80 025101
[28]	Luo Z, Yang G Q and Di Z R 2012 Acta Phys. Sin. 61 190509 (in Chinese)
[29]	Boccaletti S, Latora V, Moreno Y, Chavez M and Hwang D U 2006 Phys. Rep. 424 175
[30]	Holme P and Newman M E J 2006 Phys. Rev. E 74 056108
[31]	Caldarelli G, Capocci A and Garlaschelli D 2007 Nat. Phys. 11 813
[32]	Stauffer D, Hohnisch M and Pittnauer S 2006 Physica A 370 734
[33]	Ehrhardt G, Marsili M and Vega-Redondo F 2006 Int. J. Game Theory 34 383
[34]	Zimmermann M G, Eguíluz V M and Miguel M S 2004 Phys. Rev. E 69 065102
[35]	Centola D, González-Avella J C, Eguíluz V M and Miguel M S 2007 J. Conflict Resolut. 51 905
[36]	Zanette D H and Gil S 2006 Physica D 224 156
[37]	Kozma B and Barrat A 2008 J. Phys. A: Math. Theor. 41 224020
[38]	Hu K and Tang Y 2008 Chin. Phys. B 17 3536
[39]	Kozma B and Barrat A 2008 Phys. Rev. E 77 016102
[40]	Nardini C, Kozma B and Barrat A 2008 Phys. Rev. Lett. 100 158701
[41]	Wang R and Cai X 2008 Int. J. Mod. Phys. C 19 1939
[42]	Benczik I J, Benczik S Z, Schmittmann B and Zia R K P 2009 Phys. Rev. E 79 046104
[43]	Stauffer D 2007 arXiv: 0705.0891

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