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Reshuffling Spins With Short Range Interactions: When Sociophysics Produces Physical Results

Author

Listed:
  • A. O. SOUSA

    (Institute for Computer Physics (ICP), University of Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Euroland)

  • K. MALARZ

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Euroland)

  • S. GALAM

    (Centre de Recherche en Épistémologie Appliquée, CREA - École Polytechnique, CNRS UMR 7656, 1, rue Descartes, F-75005 Paris, Euroland)

Abstract

Galam reshuffling introduced in opinion dynamics models, is investigated under the nearest neighbor Ising model on a square lattice using Monte Carlo simulations. While the corresponding Galam analytical critical temperatureTC≈3.09 [J/kB]is recovered almost exactly, it is proved to be different from both values, not reshuffled(TC=2/arcsinh(1)≈2.27 [J/kB])and mean-field(TC=4 [J/kB]). On this basis, gradual reshuffling is studied as function of0≤p≤1wherepmeasures the probability of spin reshuffling after each Monte Carlo step. The variation ofTCas function ofpis obtained and exhibits a nonlinear behavior. The simplest Solomon network realization is noted to reproduce Galamp =1result. Similarly to the critical temperature, critical exponents are found to differ from both, the classical Ising case and the mean field values.

Suggested Citation

  • A. O. Sousa & K. Malarz & S. Galam, 2005. "Reshuffling Spins With Short Range Interactions: When Sociophysics Produces Physical Results," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(10), pages 1507-1517.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:10:n:s0129183105008102
    DOI: 10.1142/S0129183105008102
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    Citations

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    Cited by:

    1. D. Sornette, 2014. "Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based models," Papers 1404.0243, arXiv.org.
    2. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    3. Didier SORNETTE, 2014. "Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based Models," Swiss Finance Institute Research Paper Series 14-25, Swiss Finance Institute.

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