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

Entropy

卷:22

Julian Sienkiewicz¹  Piotr Fronczak¹  Anna Chmiel¹  Agata Fronczak¹ 

[1] Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland;

关键词: multiplex networks;    voter model;    opinion dynamics;    successive phase transition;    hybrid phase transition;   

DOI  :  10.3390/e22091018

来源: DOAJ

【 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 q₁ and q₂. 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

【 授权许可】

Unknown