2011/11/30 by Nuno Crokidakis · 1 citation
Physics and Astronomy · Computer Science · #physics.soc-ph #cond-mat.stat-mech #cs.SI
paper · pdf · doi:10.1016/j.physa.2011.11.038
published as Physica A 391, 1729 (2012) · 11 pages, 8 figures, to appear in Physica A
arxiv created 2011/12/05 · arxiv updated 2011/12/23
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>∼ 0.18. Another effect of the probability p is to decrease the average relaxation times τ, that are log-normally distributed, as in the standard model. In addition, the τ values depend on the lattice size L in a power-law form, τ∼ Lα, where the power-law exponent depends on the probability p.