RESHUFFLING SPINS WITH SHORT RANGE INTERACTIONS: WHEN SOCIOPHYSICS PRODUCES PHYSICAL RESULTS

A. O. Sousa (), K. Malarz () and S. Galam ()
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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

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 10, 1507-1517

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.

Keywords: Ising nearest neighbors; reshuffling; sociophysics; phase transition; critical temperature (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183105008102

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