Opinion evolution on a BA scaling network

被引:16
作者
Zhu Yue-ying [1 ,2 ]
Li Wei [1 ,2 ,3 ]
Cai Xu [1 ,2 ]
机构
[1] Cent China Normal Univ, Complex Sci Ctr, Wuhan 430079, Peoples R China
[2] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China
[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
基金
中国国家自然科学基金;
关键词
Opinion evolution; Mean-field theory; Average magnetization; Standard deviation; Critical point; Phase transition; STATISTICAL-MECHANICS; PHASE-TRANSITIONS; MODEL;
D O I
10.1016/j.physa.2013.08.047
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the dynamics of opinion formation is investigated based on a BA (Barabasi-Albert) scale-free network, using a majority minority rule governed by parameter q. As the value of q is smoothly varied, a phase transition occurs between an ordered phase and a disordered one. By performing extensive Monte Carlo simulations, we show that the phase transition is dependent on the system size, as well as on m, the number of edges added at each time step during the growth of the BA scaling network. Additionally, some theoretical analysis is given based on mean-field theory, by neglecting fluctuations and correlations. It is observed that the theoretical results coincide with results from simulations, especially for very large m. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:6596 / 6602
页数:7
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