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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Roni Muslim & Rinto Anugraha & Sholihun Sholihun & Muhammad Farchani Rosyid, 2020. "Phase transition of the Sznajd model with anticonformity for two different agent configurations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-16, February.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:04:n:s0129183120500527
    DOI: 10.1142/S0129183120500527
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    Cited by:

    1. Sznajd-Weron, Katarzyna & Sznajd, Józef & Weron, Tomasz, 2021. "A review on the Sznajd model — 20 years after," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    2. Muslim, Roni & Wella, Sasfan A. & Nugraha, Ahmad R.T., 2022. "Phase transition in the majority rule model with the nonconformist agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).

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