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Sznajd Sociophysics Model On A Triangular Lattice: Ferro And Antiferromagnetic Opinions

Author

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  • IKSOO CHANG

    (Department of Physics, Pusan National University, Pusan 609-735, Korea)

Abstract

The Sznajd sociophysics model is generalized on the triangular lattice with pure antiferromagnetic opinion and also with both ferromagnetic and antiferromagnetic opinions. The slogan of the trade union "united we stand, divided we fall" can be realized via the propagation of ferromagnetic opinion of adjacent people in the union, but the propagation of antiferromagnetic opinion can be observed among the third countries between two big super powers or among the family members of conflicting parents. Fixed points are found in both models. The distributions of relaxation time of the mixed model are dispersed and become closer to log–normal as the initial concentration of down spins approaches 0.5, whereas for pure antiferromagnetic spins, they are collapsed into one master curve, which is roughly log–normal. We do not see the phase transition in the model.

Suggested Citation

  • Iksoo Chang, 2001. "Sznajd Sociophysics Model On A Triangular Lattice: Ferro And Antiferromagnetic Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1509-1512.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:10:n:s012918310100284x
    DOI: 10.1142/S012918310100284X
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    Cited by:

    1. Shang, Lihui & Zhao, Mingming & Ai, Jun & Su, Zhan, 2021. "Opinion evolution in the Sznajd model on interdependent chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    2. 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).

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