Sznajd model with synchronous updating on complex networks

Details Sznajd model with synchronous updating on complex networks Sznajd model with synchronous updating on complex networks

2005-01-26

arxiv.org/abs/cond-mat/0501629v1

Physics

Condensed Matter

Statistical Mechanics

9 pages including all figures. To appear in Int. J. Mod. Phys. C 17, issue 7

Scientific paper

We analyze the evolution of Sznajd Model with synchronous updating in several complex networks. Similar to the model on square lattice, we have found a transition between the state with no-consensus and the state with complete consensus in several complex networks. Furthermore, by adjusting the network parameters, we find that a large clustering coefficient favors development of a consensus. In particular, in the limit of large system size with the initial concentration p=0.5 of opinion +1, a consensus seems to be never reached for the Watts-Strogatz small-world network, when we fix the connectivity k and the rewiring probability p_s; nor for the scale-free network, when we fix the minimum node degree m and the triad formation step probability p_t.

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