A Veritable Zoology of Successive Phase Transitions in the Asymmetric q-Voter Model on Multiplex Networks

被引:14
|
作者
Chmiel, Anna [1 ]
Sienkiewicz, Julian [1 ]
Fronczak, Agata [1 ]
Fronczak, Piotr [1 ]
机构
[1] Warsaw Univ Technol, Fac Phys, Koszykowa 75, PL-00662 Warsaw, Poland
关键词
multiplex networks; voter model; opinion dynamics; successive phase transition; hybrid phase transition;
D O I
10.3390/e22091018
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze a nonlinear q-voter model with stochastic noise, interpreted in the social context as independence, on a duplex network. The size of the lobby q (i.e., the pressure group) is a crucial parameter that changes the behavior of the system. The q-voter model has been applied on multiplex networks, and it has been shown that the character of the phase transition depends on the number of levels in the multiplex network as well as on the value of q. The primary aim of this study is to examine phase transition character in the case when on each level of the network the lobby size is different, resulting in two parameters q(1) and q(2). In a system of a duplex clique (i.e., two fully overlapped complete graphs) we find evidence of successive phase transitions when a continuous phase transition is followed by a discontinuous one or two consecutive discontinuous phase transitions appear, depending on the parameter. When analyzing this system, we even encounter mixed-order (or hybrid) phase transition. The observation of successive phase transitions is a new quantity in binary state opinion formation models and we show that our analytical considerations are fully supported by Monte-Carlo simulations.
引用
收藏
页数:15
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