A veritable zoology of successive phase transitions in the asymmetric $q$-voter model on multiplex networks
| Autor: | Piotr Fronczak, Agata Fronczak, Anna Chmiel, Julian Sienkiewicz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Phase transition
Physics - Physics and Society Voter model General Physics and Astronomy Duplex (telecommunications) Binary number FOS: Physical sciences lcsh:Astrophysics Physics and Society (physics.soc-ph) successive phase transition 01 natural sciences Article 010305 fluids & plasmas voter model 0103 physical sciences lcsh:QB460-466 Statistical physics 010306 general physics lcsh:Science Independence (probability theory) Condensed Matter - Statistical Mechanics Mathematics Clique Statistical Mechanics (cond-mat.stat-mech) multiplex networks hybrid phase transition lcsh:QC1-999 Nonlinear system Character (mathematics) lcsh:Q opinion dynamics lcsh:Physics |
| Zdroj: | Entropy, Vol 22, Iss 1018, p 1018 (2020) Entropy Volume 22 Issue 9 |
| Popis: | 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 in a previous work [Phys. Rev E. 92. 052812. (2015)], 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 the value of $q$. Here we study 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 $q_2$. We find evidence of successive phase transitions when a continuous phase transition is followed by a discontinuous one or two consecutive discontinuous phases appear, depending on the parameter. When analyzing this system, we even encounter mixed-order (or hybrid) phase transition. We perform simulations and obtain supporting analytical solutions on a simple multiplex case - a duplex clique, which consists of two fully overlapped complete graphs (cliques). 13 pages, 10 figures |
| Databáze: | OpenAIRE |
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