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Phase transitions in Nowak–Sznajd opinion dynamics

Author

Listed:
  • Wołoszyn, Maciej
  • Stauffer, Dietrich
  • Kułakowski, Krzysztof

Abstract

The Nowak modification of the Sznajd opinion dynamics model on the square lattice assumes that with probability β the opinions flip due to mass-media advertising from down to up, and vice versa. Besides, with probability α the Sznajd rule applies that a neighbour pair agreeing in its two opinions convinces all its six neighbours of that opinion. Our Monte Carlo simulations and mean-field theory find sharp phase transitions in the parameter space.

Suggested Citation

  • Wołoszyn, Maciej & Stauffer, Dietrich & Kułakowski, Krzysztof, 2007. "Phase transitions in Nowak–Sznajd opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 453-458.
    • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:453-458
    DOI: 10.1016/j.physa.2006.12.005
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    Cited by:

    1. Lin, Yi & Zhang, Jianwei & Yang, Bo & Liu, Hong & Zhao, Liping, 2019. "An optimal routing strategy for transport networks with minimal transmission cost and high network capacity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 551-561.
    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).
    3. Weimer-Jehle, Wolfgang, 2008. "Cross-impact balances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3689-3700.

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