Reshuffling spins with short range interactions: When sociophysics produces physical results

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dc.creatorSousa, A. O.
dc.creatorMalarz, K.
dc.creatorGalam, S.
dc.date2005-03-30
dc.date.accessioned2026-07-07T06:22:34Z
dc.date.available2026-07-07T06:22:34Z
dc.descriptionGalam 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 temperature T_C \approx 3.09 [J/k_B] is recovered almost exactly, it is proved to be different from both values, not reshuffled (T_C=2/arcsinh(1) \approx 2.27 [J/k_B]) and mean-field (T_C=4 [J/k_B]). On this basis, gradual reshuffling is studied as function of 0 \leq p \leq 1 where p measures the probability of spin reshuffling after each Monte Carlo step. The variation of T_C as function of p is obtained and exhibits a non-linear behavior. The simplest Solomon network realization is noted to reproduce Galam p=1 result. Similarly to the critical temperature, critical exponents are found to differ from both, the classical Ising case and the mean-field values.
dc.description11 pages, 5 figures in 6 eps files, to appear in IJMPC
dc.identifierhttps://arxiv.org/abs/cond-mat/0503702
dc.identifierhttp://arxiv.org/abs/cond-mat/0503702
dc.identifierInt. J. Mod. Phys. C16 (2005) 1507
dc.identifierdoi:10.1142/S0129183105008102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95945
dc.subjectStatistical Mechanics
dc.subjectPhysics and Society
dc.titleReshuffling spins with short range interactions: When sociophysics produces physical results
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