Analytical results for the Sznajd model of opinion formation

Details Analytical results for the Sznajd model of opinion formation Analytical results for the Sznajd model of opinion formation

2003-05-06

arxiv.org/abs/cond-mat/0305102v3

Eur. Phys. J. B 35, 279-288 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages 5 figures

Scientific paper

10.1140/epjb/e2003-00278-0

The 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.

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