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Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

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, , Citation Soumyajyoti Biswas et al 2011 J. Phys.: Conf. Ser. 297 012004 DOI 10.1088/1742-6596/297/1/012004

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1 Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India

2 CMSP Section, The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste I-34014 Italy

3 Centre de Physique Théorique (CNRS UMR 6207), Université de la Méditerranée Aix Marseille II, Luminy, 13288 Marseille cedex 9, France

4 Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064. India

5 Economic Research Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, India

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1742-6596/297/1/012004

Abstract

We review in details some recently proposed kinetic models of opinion dynamics. We discuss several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We also study the nature of correlations as the critical points are approached.

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10.1088/1742-6596/297/1/012004