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Damage Spreading, Coarsening Dynamics And Distribution Of Political Votes In Sznajd Model On Square Lattice

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  • A. T. BERNARDES

    (Instituto de Física, Universidade Federal Fluminense, Av. Litorânea s/n, Boa Viagem, Niterói 24210-340, RJ, Brazil;
    Departamento de Física, Universidade Federal de Ouro Preto, Campus do Morro do Cruzeiro, 35400-000, Ouro Preto-MG, Brazil)

  • U. M. S. COSTA

    (Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, CE, Brazil)

  • A. D. ARAUJO

    (Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, CE, Brazil)

  • D. STAUFFER

    (Instituto de Física, Universidade Federal Fluminense, Av. Litorânea s/n, Boa Viagem, Niterói 24210-340, RJ, Brazil;
    Visiting from Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland)

Abstract

In the Sznajd model of sociophysics on the square lattice, neighbors having the same opinion convince their neighbors of this opinion. We study scaling of the cluster growth. The spreading-of-damage technique is applied for the spread of opinions. We study the time evolution of the damage and compare it with the magnetization evolution. We also compare this model with the Ising model at low temperatures. It was recently shown that the distribution of votes in Brazilian elections follows a power law behavior with exponent≃ -1.0. A model for elections based on the Sznajd model is proposed. The exponent obtained for the distribution of votes during the transient agrees with that obtained for elections.

Suggested Citation

  • A. T. Bernardes & U. M. S. Costa & A. D. Araujo & D. Stauffer, 2001. "Damage Spreading, Coarsening Dynamics And Distribution Of Political Votes In Sznajd Model On Square Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 159-167.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:02:n:s0129183101001584
    DOI: 10.1142/S0129183101001584
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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. Bernardes, Américo T. & Ribeiro, Leonardo Costa, 2021. "Information, opinion and pandemic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    3. Pawel Sobkowicz, 2009. "Modelling Opinion Formation with Physics Tools: Call for Closer Link with Reality," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-11.

    More about this item

    Keywords

    Sociophysics; Clusters; Dynamics;
    All these keywords.

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