Phase transition of the Sznajd model with anticonformity for two different agent configurations

Roni Muslim (), Rinto Anugraha, Sholihun Sholihun () and Muhammad Farchani Rosyid ()
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Roni Muslim: Department of Physics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia
Rinto Anugraha: Department of Physics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia
Sholihun Sholihun: Department of Physics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia
Muhammad Farchani Rosyid: Department of Physics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 04, 1-16

Abstract: In this work, we study the opinion dynamics of the Sznajd model with anticonformity on a fully-connected network. We consider four agents with two different configurations; three against one (3–1) and two against two (2–2). We consider two different individual behaviors, conformity and anticonformity, and observe the effect on the critical behavior of the model. We analyze the differences between the phase transitions that occur for both agent configurations. We find that both agent configurations have a different critical point. The critical point of the 3–1 agent is smaller than that of the 2–2 agent configuration. From the simulation and analytical result, we find that the critical point for the 3–1 occurs at pc=0.2, and for the 2–2, at pc=0.5. From the social viewpoint, the consensus process in a population is faster with a larger influencer in the same number of small group of the population. In addition, we find the critical exponents for both configurations are the same, that are β≈0.5,γ≈1 and ν≈2. Our results suggest that both models are identical and in the mean-field Ising universality class.

Keywords: Sznajd model; anticonformity; configuration; four agents; identical (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183120500527

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