Effects of mass media on opinion spreading in the Sznajd sociophysics model

Details Effects of mass media on opinion spreading in the Sznajd sociophysics model Effects of mass media on opinion spreading in the Sznajd sociophysics model

2011-11-24

arxiv.org/abs/1111.5750v2

Physica A 391, 1729 (2012)

Physics

Physics and Society

11 pages, 8 figures, to appear in Physica A

Scientific paper

10.1016/j.physa.2011.11.038

In this work we consider the influence of mass media in the dynamics of the two-dimensional Sznajd model. This influence acts as an external field, and it is introduced in the model by means of a probability $p$ of the agents to follow the media opinion. We performed Monte Carlo simulations on square lattices with different sizes, and our numerical results suggest a change on the critical behavior of the model, with the absence of the usual phase transition for $p>\sim 0.18$. Another effect of the probability $p$ is to decrease the average relaxation times $\tau$, that are log-normally distributed, as in the standard model. In addition, the $\tau$ values depend on the lattice size $L$ in a power-law form, $\tau\sim L^{\alpha}$, where the power-law exponent depends on the probability $p$.

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