Analytical results for the Sznajd model of opinion formation

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dc.creatorSlanina, F.
dc.creatorLavicka, H.
dc.date2003-05-06
dc.date2004-05-28
dc.date.accessioned2026-07-07T02:51:11Z
dc.date.available2026-07-07T02:51:11Z
dc.descriptionThe Sznajd model, which describes opinion formation and social influence, is treated analytically on a complete graph. We prove the existence of the phase transition in the original formulation of the model, while for the Ochrombel modification we find smooth behaviour without transition. We calculate the average time to reach the stationary state as well as the exponential tail of its probability distribution. An analytical argument for the observed $1/n$ dependence in the distribution of votes in Brazilian elections is provided.
dc.description10 pages 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0305102
dc.identifierhttp://arxiv.org/abs/cond-mat/0305102
dc.identifierEur. Phys. J. B 35, 279-288 (2003)
dc.identifierdoi:10.1140/epjb/e2003-00278-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21361
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleAnalytical results for the Sznajd model of opinion formation
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