Phase transitions in a multistate majority-vote model on complex networks

Physical Review. E
Hanshuang Chen, Guofeng Li

Abstract

We generalize the original majority-vote (MV) model from two states to arbitrary p states and study the order-disorder phase transitions in such a p-state MV model on complex networks. By extensive Monte Carlo simulations and a mean-field theory, we show that for p≥3 the order of phase transition is essentially different from a continuous second-order phase transition in the original two-state MV model. Instead, for p≥3 the model displays a discontinuous first-order phase transition, which is manifested by the appearance of the hysteresis phenomenon near the phase transition. Within the hysteresis loop, the ordered phase and disordered phase are coexisting, and rare flips between the two phases can be observed due to the finite-size fluctuation. Moreover, we investigate the type of phase transition under a slightly modified dynamics [Melo et al., J. Stat. Mech. (2010) P110321742-546810.1088/1742-5468/2010/11/P11032]. We find that the order of phase transition in the three-state MV model depends on the degree heterogeneity of networks. For p≥4, both dynamics produce the first-order phase transitions.

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May 17, 2017·Physical Review. E·Hanshuang ChenJürgen Kurths
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Citations

Jan 21, 2021·Physical Review. E·Hanshuang ChenGinestra Bianconi
Feb 20, 2021·Physical Review. E·Susan C FennellJames P Gleeson
Mar 19, 2021·Scientific Reports·Bartłomiej NowakKatarzyna Sznajd-Weron
Mar 20, 2021·Physical Review. E·Minsuk Kim, Soon-Hyung Yook
Aug 21, 2021·Physical Review. E·Hang-Hyun Jo, Naoki Masuda

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